We Keep Coding

Return the first divisible number from an array

I have a function:
function findDivisibleBy(array, num) {
for (i = 0; i < array.length; i++) {
if (array[i] % num == 0 && array[i] != 0) {
return array[i]
} else {
return ('No valid number found!')
}
}
}
I must return the first number in the array that is divisible by the num paramater, and that number can't be 0. The way i'm doing it is not working.

function findDivisibleBy(array, num) {
for (i = 0; i < array.length; i++) {
if (array[i] % num == 0 && array[i] != 0) {
return array[i]
}
}
return ('No valid number found!')
}
The else part is making your function return if the condition isn't met for the first item in the array.

function findDivisibleBy(array, num) {
for (let n of array) {
if (n % num == 0 && n != 0) {
return n
}
}
return ('No valid number found!')
}

You can try this simple code:
function findDivisibleBy(array, num) {
return array.find(x => x % num === 0 && x !== 0) || 'No valid number found!'
}

Use the find method and check for null before returning value.
const findDivisibleBy = (array, num) =>
array.find((val) => val % num === 0 && val !== 0) ?? "No valid number found!";
const input = [3, 0, 4, 5, 8];
console.log(findDivisibleBy(input, 2));
console.log(findDivisibleBy(input, 9));

Greatest Prime Factor

I'm trying to complete an algorithm challenge to find the largest prime factor of 600851475143. I'm not necessarily asking for the answer. Just trying to figure out why this code isn't working. Why does it return 'undefined' instead of a number?
let isPrime = n => {
let div = n - 1;
while (div > 1) {
if (n % div == 0) return false;
div--;
}
return true;
};
let primeFactor = x => {
for (let i = Math.floor(x / 2); i > 1; i--) {
if (x % i == 0 && isPrime(i) == true) {
return i;
}
}
};
console.log(primeFactor(35)); // 7
console.log(primeFactor(13195)); // 29
console.log(primeFactor(600851475143)); // undefined

The problem is not your algorithm it is perfectly valid, check the below slightly modified algorithm, all I've done is replaced your starting point Math.floor(x/2) with a parameter that you can choose:
let isPrime = n => {
let div = n - 1;
while (div > 1) {
if (n % div == 0) return false;
div--;
}
return true;
};
function primeFactor(x, n){
for (let i = n; i > 1; i--) {
if (x % i == 0 && isPrime(i) == true) {
return i;
}
}
}
console.log(primeFactor(35, 35));
console.log(primeFactor(13195, 13195));
console.log(primeFactor(600851475143, 100000))
Using the above you'll get an answer that proves your implementation works, but the loop is too big to do the entire thing(i.e. from Math.floor(600851475143/2)). Say your computer can do 500million loops per second, going through every one from 300,425,737,571 down to 1 would take 167 hours, even at 5 billion loops per second it would take 16 and a half hours. Your method is extremely inefficient but will return the correct answer. The reason you're not getting an answer on JSBin is more likely to do with browser/service limitations.
Spoilers on more efficient solution below
The following implementation uses a prime sieve(Sieve of Eratosthenes) in order to generate any list of primes requested and then checks if they fully factor into the given number, as long as you use a large enough list of primes, this will work exactly as intended. it should be noted that because it generates a large list of primes it can take some time if ran incorrectly, a single list of primes should be generated and used for all calls below, and the cached list of primes will pay off eventually by having to perform less calculations later on:
function genPrimes(n){
primes = new Uint32Array(n+1);
primes.fill(1)
for(var i = 2; i < Math.sqrt(n); i++){
if(primes[i]){
for(var j = 2*i; j < n; j+=i){
primes[j] = 0;
}
}
}
primeVals = []
for(var i = 2; i < primes.length; i++){
if(primes[i]){
primeVals.push(i);
}
}
return primeVals;
}
function primeFactor(x, primes){
var c = x < primes.length ? x : primes.length
for (var i = c; i > 1; i--) {
if(x % primes[i] == 0){
return primes[i];
}
}
}
primes = genPrimes(15487457);
console.log(primeFactor(35, primes));
console.log(primeFactor(13195, primes));
console.log(primeFactor(600851475143, primes));
console.log(primeFactor(30974914,primes));

let primeFactor = x => {
if (x === 1 || x === 2) {
return x;
}
while (x % 2 === 0) {
x /= 2;
}
if (x === 1) {
return 2;
}
let max = 0;
for (let i = 3; i <= Math.sqrt(x); i += 2) {
while (x % i === 0) {
x /= i;
max = Math.max(i, max);
}
}
if (x > 2) {
max = Math.max(x, max);
}
return max;
};
console.log(primeFactor(35));
console.log(primeFactor(13195));
console.log(primeFactor(27));
console.log(primeFactor(1024));
console.log(primeFactor(30974914));
console.log(primeFactor(600851475143));
Optimizations
Dividing the number by 2 until it's odd since no even number is prime.
The iteration increment is 2 rather than 1 to skip all even numbers.
The iteration stops at sqrt(x). The explanation for that is here.

How can I find the prime factors of an integer in JavaScript?

I was trying to find the prime factors of a number, recorded below as 'integer' using a for loop in javascript. I can't seem to get it working and I'm not sure whether it's my JavaScript or my calculation logic.
//integer is the value for which we are finding prime factors
var integer = 13195;
var primeArray = [];
//find divisors starting with 2
for (i = 2; i < integer/2; i++) {
if (integer % i == 0) {
//check if divisor is prime
for (var j = 2; j <= i / 2; j++) {
if (i % j == 0) {
isPrime = false;
} else {
isPrime = true;
}
}
//if divisor is prime
if (isPrime == true) {
//divide integer by prime factor & factor store in array primeArray
integer /= i
primeArray.push(i);
}
}
}
for (var k = 0; k < primeArray.length; k++) {
console.log(primeArray[k]);
}

The answer above is inefficient with O(N^2) complexity. Here is a better answer with O(N) complexity.
function primeFactors(n) {
const factors = [];
let divisor = 2;
while (n >= 2) {
if (n % divisor == 0) {
factors.push(divisor);
n = n / divisor;
} else {
divisor++;
}
}
return factors;
}
const randomNumber = Math.floor(Math.random() * 10000);
console.log('Prime factors of', randomNumber + ':', primeFactors(randomNumber).join(' '))
You can filter for duplicates as you please!

Here's a working solution:
function getPrimeFactors(integer) {
const primeArray = [];
let isPrime;
// Find divisors starting with 2
for (let i = 2; i <= integer; i++) {
if (integer % i !== 0) continue;
// Check if the divisor is a prime number
for (let j = 2; j <= i / 2; j++) {
isPrime = i % j !== 0;
}
if (!isPrime) continue;
// if the divisor is prime, divide integer with the number and store it in the array
integer /= i
primeArray.push(i);
}
return primeArray;
}
console.log(getPrimeFactors(13195).join(', '));
You were very much on the right track. There were two minor mistakes. The evaluation of integer - 1 seemed to be incorrect. I believe the more appropriate evaluation is <= integer in your outer for loop. This is because when you divide your integer below integer /= i, this results in the final integer evaluation to be 29. The final prime divisor in this case is also 29 and as such will need to be evaluated as <= as oppose to < integer - 1.
As for why the final log statement isn't working, there was a simple typo of primeArray[i] as oppose to primeArray[k].

I do believe there is a mistake in both code above. If you replace the integer by 100 the prime factorization won't work anymore as the factor 2 cannot be considered with those for loops. As j = 2, i = 2 and j<=i/2 in the condition - meaning the loop will never run for i=2, which is a prime factor.
Tried to make it work this way but couldn't figure out.
Had to rely on a different approach with a while loop here :
function getAllFactorsFor(remainder) {
var factors = [], i;
for (i = 2; i <= remainder; i++) {
while ((remainder % i) === 0) {
factors.push(i);
remainder /= i;
}
}
return factors;
}
https://jsfiddle.net/JamesOR/RC7SY/
You could also go with something like that :
let findPrimeFactors = (num) => {
let arr = [];
for ( var i = 2; i < num; i++) {
let isPrime
if (num % i === 0) {
isPrime = true;
for (var j = 2; j <= i; j++) {
if ( i % j === 0) {
isPrime == false;
}
}
}if (isPrime == true) { arr.push(i)}
}console.log(arr)
}
findPrimeFactors(543)

We can find the prime factor numbers up to n with only one loop. It is a very simple solution without any nested loop.
Time complexity would be less than O(n) because we are dividing "n" by "i".
function primeFactors(n) {
let arr=[];
let i = 2;
while(i<=n){
if(n%i == 0) {
n= n/i;
arr.push(i);
} else {
i++;
}
}
return arr;
}
// primeFactors(10) [2,5]
// primeFactors(10) [2,2,5,5]
// primeFactors(2700) [2, 2, 3, 3, 3, 5, 5]

When factorizing an integer (n) to its prime factors, after finding the first prime factor, the problem in hand is reduced to finding prime factorization of quotient (q).
Suppose n is divisible to prime p1 then we have n = p1 * q1 so after finding p1 the problem is reduced to factorizing q1 (quotient). If the function name is primeFactorizer then we can call it recursively and solution for n would be:
n = p1 * primeFactorizer(q1)
n = p1 * p2 * primeFactorizer(q2)
...
Until qn is prime itself.
Also I'm going to use a helper generator function which generates primes for us:
function * primes () {
let n = 2
while (true) {
let isPrime = true
for (let i = 2; i <= n / 2; i++) {
if (n % i === 0) {
isPrime = false
break
}
}
if (isPrime) {
yield n
}
n++
}
}
And function to factorize n would be:
function primeFactorizer (n, result = []) {
for (const p of primes()) {
if (n === p) {
result.push(p)
return result
}
if (n % p === 0) {
result.push(p)
return primeFactorizer(n / p, result)
}
}
}

I've refined this function over time, trying to get it as fast as possible (racing it against others' functions that I've found online, haven't found one that runs consistently faster than it yet).
function primFact(num) {
var factors = [];
/* since 2 is the only even prime, it's easier to factor it out
* separately from the odd factor loop (for loop doesn't need to
* check whether or not to add 1 or 2 to f).
* The condition is essentially checking if the number is even
* (bitwise "&" operator compares the bits of 2 numbers in binary
* and outputs a binary number with 1's where their digits are the
* same and 0's where they differ. In this case it only checks if
* the final digit for num in binary is 1, which would mean the
* number is odd, in which case the output would be 1, which is
* interpreted as true, otherwise the output will be 0, which is
* interpreted as false. "!" returns the opposite boolean, so this
* means that '!(num & 1)' is true when the num is not odd)
*/
while (!(num & 1)) {
factors.push(2);
num /= 2;
}
// 'f*f <= num' is faster than 'f <= Math.sqrt(num)'
for (var f = 3; f*f <= num; f += 2) {
while (!(num % f)) { // remainder of 'num / f' isn't 0
factors.push(f);
num /= f;
}
}
/* if the number is already prime, then this adds it to factors so
* an empty array isn't returned
*/
if (num != 1) {
factors.push(num);
}
return factors;
}
This performs very well at large numbers compared to functions I've run it against, especially when the number is prime, (rarely runs slower than 10ms when I've run it in an online compiler like OneCompiler) so if you want speed I'd say this is a pretty good way to go about it.
Still working on making it even faster, but only way to include all primes without adding new conditions to check is to iterate through all odd numbers.

I just started JavaScript but i managed to come up with my own solution for this while working on a school project with a similar objective.
Only issue is that it takes a very long time for large numbers, its not v ery efficient. But it works perfectly.
function isPrime(n){
if (n === 1){
return false;
}
else if (n === 2){
return true;
}
else{
for (let x = 2; x < n; x ++){
if (n % x === 0){
return false;
}
}
return true;
}
}
let primeFac = []
let num = 30
for (let x = 0; x <= num; x++){
if (num % x === 0 && isPrime(x) === true){
primeFac.push(x);
}
}
console.log(`${primeFac}`)

If you work up from the bottom there's no need to check if any following factor is prime. This is because any lower primes will have already been divided out.
function getPrimeFactorsFor(num) {
const primes = [];
for (let factor = 2; factor <= num; factor++) {
while ((num % factor) === 0) {
primes.push(factor);
num /= factor;
}
}
return primes;
}
console.log("10 has the primes: ", getPrimeFactorsFor(10));
console.log("8 has the primes: ", getPrimeFactorsFor(8));
console.log("105 has the primes: ", getPrimeFactorsFor(105))
console.log("1000 has the primes: ", getPrimeFactorsFor(1000))
console.log("1155 has the primes: ", getPrimeFactorsFor(1155))

In case somebody is looking for the fastest solution, here's one based on my library prime-lib. It can calculate prime factors for any number between 2 and 2^53 - 1, in under 1ms. The function source code is available here.
import {primeFactors} from 'prime-lib';
const factors = primeFactors(600851475143);
//=> [71, 839, 1471, 6857]

Here an other implementation to find prime factors, in three variations. It's more efficient than the other implementations, worst case sqrt(n), because it stops earlier.
The function* means it's a generator function. So a generator is returned instead of an array and the next prime factor is only calculated as soon as it is requested.
// Example: 24 -> 2, 3
function* singlePrimeFactors (n) {
for (var k = 2; k*k <= n; k++) {
if (n % k == 0) {
yield k
do {n /= k} while (n % k == 0)
}
}
if (n > 1) yield n
}
// Example: 24 -> 2, 2, 2, 3
function* repeatedPrimeFactors (n) {
for (var k = 2; k*k <= n; k++) {
while (n % k == 0) {
yield k
n /= k
}
}
if (n > 1) yield n
}
// Example: 24 -> {p: 2, m: 3}, {p: 3, m: 1}
function* countedPrimeFactors (n) {
for (var k = 2; k*k <= n; k++) {
if (n % k == 0) {
var count = 1
for (n /= k; n % k == 0; n /= k) count++
yield {p: k, m: count}
}
}
if (n > 1) yield {p: n, m: 1}
}
// Test code
for (var i=1; i<=100; i++) {
var single = JSON.stringify(Array.from(singlePrimeFactors(i)))
var repeated = JSON.stringify(Array.from(repeatedPrimeFactors(i)))
var counted = JSON.stringify(Array.from(countedPrimeFactors(i)))
console.log(i, single, repeated, counted)
}
// Iterating over a generator
for (var p of singlePrimeFactors(24)) {
console.log(p)
}
// Iterating over a generator, an other way
var g = singlePrimeFactors(24)
for (var r = g.next(); !r.done; r = g.next()) {
console.log(r.value);
}

My solution avoids returning not prime factors:
let result = [];
let i = 2;
let j = 2;
let number = n;
for (; i <= number; i++) {
let isPrime = number % i === 0;
if (isPrime) {
result.push(i);
number /= i;
}
while (isPrime) {
if (number % i === 0) {
result.push(i);
number /= i;
} else {
isPrime = false;
}
}
}
return result;

With so many good solutions above, wanted to make a little bit of improvement by using this theorem in the Math Forum Finding prime factors by taking the square root
.
function primeFactors(n)
{
// Print the number of 2s that divide n
while (n%2 == 0)
{
console.log(2);
n = n/2;
}
// n must be odd at this point. So we can skip
// one element (Note i = i +2)
for (var i = 3; i <= Math.sqrt(n); i = i+2)
{
// While i divides n, print i and divide n
while (n%i == 0)
{
console.log(i);
n = n/i;
}
}
// This condition is to handle the case when n
// is a prime number greater than 2
if (n > 2)
console.log(n);
}
primeFactors(344);
console.log("--------------");
primeFactors(4);
console.log("--------------");
primeFactors(10);
Hope this answer adds value.

Here is a solution using recursion
function primeFactors(num, primes){
let i = 2;
while(i < num){
if(num % i === 0){
primes.push(i);
return primeFactors(num/i, primes);
}
i++
}
primes.push(num);
return primes;
}
console.log(primeFactors(55, []))
console.log(primeFactors(15, []))
console.log(primeFactors(40, []))
console.log(primeFactors(13, []))
// [ 5, 11 ]
// [ 3, 5 ]
// [ 2, 2, 2, 5 ]
// [ 13 ]

I found this solution by chance when i was trying to simplify several
solutions that i saw here. Although it doesn't check if the divisor
is a prime number somehow it seems to work, i tested it with
miscellaneous numbers but i could not explain how this was possible.
function start() {
var integer = readInt("Enter number: ");
println("The prime factorization is: ");
for(var i = 2; i <= integer; i++) {
if (integer % i == 0) {
println(i);
integer = integer / i;
i = i - 1;
}
}
}

I checked the algorithm with yield, but that is a lot slower than recursive calls.
function rootnth(val, power=2) {
let o = 0n; // old approx value
let x = val;
let limit = 100;
let k = BigInt(power);
while(x**k!==k && x!==o && --limit) {
o=x;
x = ((k-1n)*x + val/x**(k-1n))/k;
}
return x;
}
// Example: 24 -> 2, 2, 2, 3
function repeatedPrimeFactors (n,list) {
if (arguments.length == 1) list = "";
if (n % 2n == 0) return repeatedPrimeFactors(n/2n, list + "*2")
else if (n % 3n == 0) return repeatedPrimeFactors(n/3n, list + "*3")
var sqrt = rootnth(n);
let k = 5n;
while (k <= sqrt) {
if (n % k == 0) return repeatedPrimeFactors(n/k, list + "*" + k)
if (n % (k+2n) == 0) return repeatedPrimeFactors(n/(k+2n), list + "*" + (k+2n))
k += 6n;
}
list = list + "*" + n;
return list;
}
var q = 11111111111111111n; // seventeen ones
var t = (new Date()).getTime();
var count = repeatedPrimeFactors(BigInt(q)).substr(1);
console.log(count);
console.log(("elapsed=" + (((new Date()).getTime())-t)+"ms");
Here I try for the factors 2 and 3, followed by alternatingly adding 2 anf 4 (5,7,11,13,17,...) until the square root of the number.
Seventeen ones (which is not prime) takes about 1 second and nineteen ones (which is prime) eight seconds (Firefox).

Here is the solution with the nested function using the filter method.
function primeFactors(params) {
function prime(number) {
for (let i = 2; i < number + 1; ) {
if (number === 2) {
return true;
}
if (number % i === 0 && number !== i) {
return false;
} else if (i < number) {
i++;
} else {
return true;
}
}
}
let containerPrime = [];
let containerUnPrime = [];
for (let i = 0; i < params; i++) {
if (prime(i)) {
containerPrime.push(i);
} else {
containerUnPrime.push(i);
}
}
return containerPrime.filter((e) => params % e === 0);
}
console.log(primeFactors(13195));

function primeFactorization(n) {
let factors = [];
while (n % 2 === 0) {
factors.push(2);
n = n / 2;
}
for (let i = 3; i <= Math.sqrt(n); i += 2) {
while (n % i === 0) {
factors.push(i);
n = n / i;
}
}
if (n > 2) {
factors.push(n);
}
return factors;
}
console.log(primeFactorization(100));

The answer with O(sqrt(n)) complexity, it's faster than O(n):
const number = 13195;
let divisor = 2;
const result = [];
let n = number;
while (divisor * divisor <= number) {
if (n % divisor === 0) {
result.push(divisor);
n /= divisor;
} else {
divisor++;
}
}
if (n > 1) {
result.push(n);
}
console.log(result);

The above code (the code which has while loop) is correct, but there is one small correction in that code.
var num, i, factorsArray = [];
function primeFactor(num) {
for (i = 2; i <= num; i++) {
while (num % i == 0) {
factorsArray.push(i);
num = num / 2;
}
}
}
primeFactor(18);
var newArray = Array.from(new Set(factorsArray));
document.write(newArray);

This is my solution
function prime(n) {
for (var i = 1; i <= n; i++) {
if (n%i===0) {
myFact.push(i);
var limit = Math.sqrt(i);
for (var j = 2; j < i; j++) {
if (i%j===0) {
var index = myFact.indexOf(i);
if (index > -1) {
myFact.splice(index, 1);
}
}
}
}
}
}

var n = 100, arr =[],primeNo = [],priFac=[];
for(i=0;i<=n;i++){
arr.push(true);
}
//console.log(arr)
let uplt = Math.sqrt(n)
for(j=2;j<=uplt;j++){
if(arr[j]){
for(k=j*j;k<=n;k+=j){
arr[k] = false;
}
}
}
for(l=2;l<=n;l++){
if(arr[l])
primeNo.push(l)
}
for(m=0;m<primeNo.length;m++){
if(n%primeNo[m]==0)
priFac.push(primeNo[m])
}
console.log(...priFac);

FizzBuzz program (details given) in Javascript [closed]

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Closed 1 year ago.
Improve this question
Can someone please correct this code of mine for FizzBuzz? There seems to be a small mistake. This code below prints all the numbers instead of printing only numbers that are not divisible by 3 or 5.
Write a program that prints the numbers from 1 to 100. But for multiples of three, print "Fizz" instead of the number, and for the multiples of five, print "Buzz". For numbers which are multiples of both three and five, print "FizzBuzz".
function isDivisible(numa, num) {
if (numa % num == 0) {
return true;
} else {
return false;
}
};
function by3(num) {
if (isDivisible(num, 3)) {
console.log("Fizz");
} else {
return false;
}
};
function by5(num) {
if (isDivisible(num, 5)) {
console.log("Buzz");
} else {
return false;
}
};
for (var a=1; a<=100; a++) {
if (by3(a)) {
by3(a);
if (by5(a)) {
by5(a);
console.log("\n");
} else {
console.log("\n");
}
} else if (by5(a)) {
by5(a);
console.log("\n");
} else {
console.log(a+"\n")
}
}

for (let i = 1; i <= 100; i++) {
let out = '';
if (i % 3 === 0) out += 'Fizz';
if (i % 5 === 0) out += 'Buzz';
console.log(out || i);
}

/*Write a program that prints the numbers from 1 to 100. But for multiples of three print “Fizz” instead of the number and for the multiples of five print “Buzz”. For numbers which are multiples of both three and five print “FizzBuzz”*/
var str="",x,y,a;
for (a=1;a<=100;a++)
{
x = a%3 ==0;
y = a%5 ==0;
if(x)
{
str+="fizz"
}
if (y)
{
str+="buzz"
}
if (!(x||y))
{
str+=a;
}
str+="\n"
}
console.log(str);
Your functions return falsy values no matter what, but will print anyway. No need to make this overly complicated.
fiddle: http://jsfiddle.net/ben336/7c9KN/

Was fooling around with FizzBuzz and JavaScript as comparison to C#.
Here's my version, heavily influenced by more rigid languages:
function FizzBuzz(aTarget) {
for (var i = 1; i <= aTarget; i++) {
var result = "";
if (i%3 === 0) result += "Fizz";
if (i%5 === 0) result += "Buzz";
if (result.length ===0) result = i;
console.log(result);
}
}
I like the structure and ease of read.
Now, what Trevor Dixon cleverly did is relay on the false-y values of the language (false , null , undefined , '' (the empty string) , 0 and NaN (Not a Number)) to shorten the code.
Now, the if (result.length ===0) result = i; line is redundant and the code will look like:
function FizzBuzz(aTarget) {
for (var i = 1; i <= aTarget; i++) {
var result = "";
if (i%3 === 0) result += "Fizz";
if (i%5 === 0) result += "Buzz";
console.log(result || i);
}
}
Here we relay on the || operator to say : "if result is false, print the iteration value (i)". Cool trick, and I guess I need to play more with JavaScript in order to assimilate this logic.
You can see other examples (from GitHub) that will range from things like :
for (var i=1; i <= 20; i++)
{
if (i % 15 == 0)
console.log("FizzBuzz");
else if (i % 3 == 0)
console.log("Fizz");
else if (i % 5 == 0)
console.log("Buzz");
else
console.log(i);
}
No variables here, and just check for division by 15,3 & 5 (my above one only divides by 3 & 5, but has an extra variable, so I guess it's down to microbenchmarking for those who care, or style preferences).
To:
for(i=0;i<100;)console.log((++i%3?'':'Fizz')+(i%5?'':'Buzz')||i)
Which does it all in on line, relaying on the fact that 0 is a false value, so you can use that for the if-else shorthanded version (? :), in addition to the || trick we've seen before.
Here's a more readable version of the above, with some variables:
for (var i = 1; i <= 100; i++) {
var f = i % 3 == 0, b = i % 5 == 0;
console.log(f ? b ? "FizzBuzz" : "Fizz" : b ? "Buzz" : i);
}
All in all, you can do it in different ways, and I hope you picked up some nifty tips for use in JavaScript :)

.fizz and .buzz could be CSS classes, no? In which case:
var n = 0;
var b = document.querySelector("output");
window.setInterval(function () {
n++;
b.classList[n%3 ? "remove" : "add"]("fizz");
b.classList[n%5 ? "remove" : "add"]("buzz");
b.textContent = n;
}, 500);
output.fizz:after {
content: " fizz";
color:red;
}
output.buzz:after {
content: " buzz";
color:blue;
}
output.fizz.buzz:after {
content: " fizzbuzz";
color:magenta;
}
<output>0</output>

With ternary operator it is much simple:
for (var i = 0; i <= 100; i++) {
str = (i % 5 == 0 && i % 3 == 0) ? "FizzBuzz" : (i % 3 == 0 ? "Fizz" : (i % 5 == 0) ? "Buzz" : i);
console.log(str);
}

for(i = 1; i < 101; i++) {
if(i % 3 === 0) {
if(i % 5 === 0) {
console.log("FizzBuzz");
}
else {
console.log("Fizz");
}
}
else if(i % 5 === 0) {
console.log("Buzz");
}
else {
console.log(i)
}
}

In your by3 and by5 functions, you implicitly return undefined if it is applicable and false if it's not applicable, but your if statement is testing as if it returned true or false. Return true explicitly if it is applicable so your if statement picks it up.

As an ES6 generator: http://www.es6fiddle.net/i9lhnt2v/
function* FizzBuzz() {
let index = 0;
while (true) {
let value = ''; index++;
if (index % 3 === 0) value += 'Fizz';
if (index % 5 === 0) value += 'Buzz';
yield value || index;
}
}
let fb = FizzBuzz();
for (let index = 0; index < 100; index++) {
console.log(fb.next().value);
}

Codeacademy sprang a FizzBuzz on me tonight. I had a vague memory that it was "a thing" so I did this. Not the best way, perhaps, but different from the above:
var data = {
Fizz:3,
Buzz:5
};
for (var i=1;i<=100;i++) {
var value = '';
for (var k in data) {
value += i%data[k]?'':k;
}
console.log(value?value:i);
}
It relies on data rather than code. I think that if there is an advantage to this approach, it is that you can go FizzBuzzBing 3 5 7 or further without adding additional logic, provided that you assign the object elements in the order your rules specify. For example:
var data = {
Fizz:3,
Buzz:5,
Bing:7,
Boom:11,
Zing:13
};
for (var i=1;i<=1000;i++) {
var value = '';
for (var k in data) {
value += i%data[k]?'':k;
}
console.log(value?value:i);
}

This is what I wrote:
for (var num = 1; num<101; num = num + 1) {
if (num % 5 == 0 && num % 3 == 0) {
console.log("FizzBuzz");
}
else if (num % 5 == 0) {
console.log("Buzz");
}
else if (num % 3 == 0) {
console.log("Fizz");
}
else {
console.log(num);
}
}

for (var i = 1; i <= 100; i++) {
if (i % 3 === 0 && i % 5 === 0) console.log("FizzBuzz");
else if (i%3 === 0) console.log("Fizz");
else if (i%5 === 0) console.log("Buzz");
else console.log(i);
}
One of the easiest way to FizzBuzz.
Multiple of 3 and 5, at the same time, means multiple of 15.
Second version:
for (var i = 1; i <= 100; i++) {
if (i % 15 === 0) console.log("FizzBuzz");
else if (i%3 === 0) console.log("Fizz");
else if (i%5 === 0) console.log("Buzz");
else console.log(i);
}

In case someone is looking for other solutions: This one is a pure, recursive, and reusable function with optionally customizable parameter values:
const fizzBuzz = (from = 1, till = 100, ruleMap = {
3: "Fizz",
5: "Buzz",
}) => from > till || console.log(
Object.keys(ruleMap)
.filter(number => from % number === 0)
.map(number => ruleMap[number]).join("") || from
) || fizzBuzz(from + 1, till, ruleMap);
// Usage:
fizzBuzz(/*Default values*/);
The from > till is the anchor to break the recursion. Since it returns false until from is higher than till, it goes to the next statement (console.log):
Object.keys returns an array of object properties in the given ruleMap which are 3 and 5 by default in our case.
Then, it iterates through the numbers and returns only those which are divisible by the from (0 as rest).
Then, it iterates through the filtered numbers and outputs the saying according to the rule.
If, however, the filter method returned an empty array ([], no results found), it outputs just the current from value because the join method at the end finally returns just an empty string ("") which is a falsy value.
Since console.log always returns undefined, it goes to the next statement and calls itself again incrementing the from value by 1.

A Functional version of FizzBuzz
const dot = (a,b) => x => a(b(x));
const id = x => x;
function fizzbuzz(n){
const f = (N, m) => n % N ? id : x => _ => m + x('');
return dot(f(3, 'fizz'), f(5, 'buzz')) (id) (n);
}
for more options in the above replace dot with dots as below
const dots = (...a) => f0 => a.reduceRight((acc, f) => f(acc), f0);
function fizzbuzz(n){
const f = (N, m) => n % N ? id : x => _ => m + x('');
return dots(f(3, 'fizz'), f(5, 'buzz'), f(7, 'bam')) (id) (n);
}
Reference: FizzBuzz in Haskell by Embedding a Domain-Specific Language
by Maciej Piro ́g

for (i=1; i<=100; i++) {
output = "";
if (i%5==0) output = "buzz";
if (i%3==0) output = "fizz" + output;
if (output=="") output = i;
console.log(output);
}

Functional style! JSBin Demo
// create a iterable array with a length of 100
// and map every value to a random number from 1 to a 100
var series = Array.apply(null, Array(100)).map(function() {
return Math.round(Math.random() * 100) + 1;
});
// define the fizzbuzz function which takes an interger as input
// it evaluates the case expressions similar to Haskell's guards
var fizzbuzz = function (item) {
switch (true) {
case item % 15 === 0:
console.log('fizzbuzz');
break;
case item % 3 === 0:
console.log('fizz');
break;
case item % 5 === 0:
console.log('buzz');
break;
default:
console.log(item);
break;
}
};
// map the series values to the fizzbuzz function
series.map(fizzbuzz);

Another solution, avoiding excess divisions and eliminating excess spaces between "Fizz" and "Buzz":
var num = 1;
var FIZZ = 3; // why not make this easily modded?
var BUZZ = 5; // ditto
var UPTO = 100; // ditto
// and easily extended to other effervescent sounds
while (num < UPTO)
{
var flag = false;
if (num % FIZZ == 0) { document.write ("Fizz"); flag = true; }
if (num % BUZZ == 0) { document.write ("Buzz"); flag = true; }
if (flag == false) { document.write (num); }
document.write ("<br>");
num += 1;
}
If you're using using jscript/jsc/.net, use Console.Write(). If you're using using Node.js, use process.stdout.write(). Unfortunately, console.log() appends newlines and ignores backspaces, so it's unusable for this purpose. You could also probably append to a string and print it. (I'm a complete n00b, but I think (ok, hope) I've been reasonably thorough.)
"Whaddya think, sirs?"

check this out!
function fizzBuzz(){
for(var i=1; i<=100; i++){
if(i % 3 ===0 && i % 5===0){
console.log(i+' fizzBuzz');
} else if(i % 3 ===0){
console.log(i+' fizz');
} else if(i % 5 ===0){
console.log(i+' buzz');
} else {
console.log(i);
}
}
}fizzBuzz();

Slightly different implementation.
You can put your own argument into the function. Can be non-sequential numbers like [0, 3, 10, 1, 4]. The default set is only from 1-15.
function fizzbuzz (set) {
var set = set ? set : [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]
var isValidSet = set.map((element) => {if (typeof element !== 'number') {return false} else return true}).indexOf(false) === -1 ? true : false
var gotFizz = (n) => {if (n % 3 === 0) {return true} else return false}
var gotBuzz = (n) => {if (n % 5 === 0) {return true} else return false}
if (!Array.isArray(set)) return new Error('First argument must an array with "Number" elements')
if (!isValidSet) return new Error('The elements of the first argument must all be "Numbers"')
set.forEach((n) => {
if (gotFizz(n) && gotBuzz(n)) return console.log('fizzbuzz')
if (gotFizz(n)) return console.log('fizz')
if (gotBuzz(n)) return console.log('buzz')
else return console.log(n)
})
}

var num = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20];
var runLoop = function() {
for (var i = 1; i<=num.length; i++) {
if (i % 5 === 0 && i % 3 === 0) {
console.log("FizzBuzz");
}
else if (i % 5 === 0) {
console.log("Buzz");
}
else if (i % 3 === 0) {
console.log("Fizz");
}
else {
console.log(i);
}
}
};
runLoop();

Just want to share my way to solve this
for (i = 1; i <= 100; i++){
if (i % 3 === 0 && i % 5 === 0) {
console.log('fizzBuzz');
} else if (i % 3 === 0) {
console.log('fizz');
} else if (i % 5 === 0){
console.log('buzz');
} else {
console.log(i);
}
}

var limit = prompt("Enter the number limit");
var n = parseInt(limit);
var series = 0;
for(i=1;i<n;i++){
series = series+" " +check();
}
function check() {
var result;
if (i%3==0 && i%5==0) { // check whether the number is divisible by both 3 and 5
result = "fizzbuzz "; // if so, return fizzbuzz
return result;
}
else if (i%3==0) { // check whether the number is divisible by 3
result = "fizz "; // if so, return fizz
return result;
}
else if (i%5==0) { // check whether the number is divisible by 5
result = "buzz "; // if so, return buzz
return result;
}
else return i; // if all the above conditions fail, then return the number as it is
}
alert(series);

Thats How i did it :
Not the best code but that did the trick
var numbers = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20];
for(var i = 0 ; i <= 19 ; i++){
var fizz = numbers[i] % 3 === 0;
var buzz = numbers[i] % 5 === 0;
var fizzBuzz = numbers[i] % 5 === 0 && numbers[i] % 3 === 0;
if(fizzBuzz){
console.log("FizzBuzz");
} else if(fizz){
console.log("Fizz");
} else if(buzz){
console.log("Buzz");
} else {
console.log(numbers[i]);
}
}

As much as this is easy logic it can be a daunting task for beginners. Below is my solution to the FizzBuzz problem:
let i = 1;
while(i<=100){
if(i % 3 ==0 && i % 5 == 0){
console.log('FizzBuzz');
}
else if(i % 3 == 0){
console.log('Fizz');
}
else if(i % 5 == 0){
console.log('Buzz');
}
else{
console.log(i);
}
i++;
}

considering performance and readability, please find my take on this problem
way 1: instead of doing a math modules operation in an if loop, which results in performing 3 times taking it a step above reduces the overhead
function fizzBuzz(n) {
let count =0;
let x = 0;
let y = 0;
while(n!==count)
{
count++;
x = count%3;
y = count%5;
if(x === 0 && y ===0)
{
console.log("fizzbuzz");
}
else if(x === 0)
{
console.log("fizz");
}
else if(y === 0)
{
console.log("buzz");
}
else
{
console.log(count);
}
}
}
fizzBuzz(15);
way 2: condensing the solution
function fizzBuzz(n) {
let x = 0;
let y = 0;
for (var i = 1; i <= n; i++) {
var result = "";
x = i%3;
y = i%5;
if (x === 0 && y === 0) result += "fizzbuzz";
else if (x === 0) result += "fizz";
else if (y === 0) result += "buzz";
console.log(result || i);
}
}
fizzBuzz(5)

Here's my favorite solution. Succinct, functional & fast.
const oneToOneHundred = Array.from({ length: 100 }, (_, i) => i + 1);
const fizzBuzz = (n) => {
if (n % 15 === 0) return 'FizzBuzz';
if (n % 3 === 0) return 'Fizz';
if (n % 5 === 0) return 'Buzz';
return n;
};
console.log(oneToOneHundred.map((i) => fizzBuzz(i)).join('\n'));

function fizzBuzz(n) {
for (let i = 1; i < n + 1; i++) {
if (i % 15 == 0) {
console.log("fizzbuzz");
} else if (i % 3 == 0) {
console.log("fizz");
} else if (i % 5 == 0) {
console.log("buzz");
} else {
console.log(i);
}
}
}
fizzBuzz(15);

Different functional style -- naive
fbRule = function(x,y,f,b,z){return function(z){return (z % (x*y) == 0 ? f+b: (z % x == 0 ? f : (z % y == 0 ? b: z))) }}
range = function(n){return Array.apply(null, Array(n)).map(function (_, i) {return i+1;});}
range(100).map(fbRule(3,5, "fizz", "buzz"))
or, to incorporate structures as in above example: ie [[3, "fizz"],[5, "buzz"], ...]
fbRule = function(fbArr,z){
return function(z){
var ed = fbArr.reduce(function(sum, unit){return z%unit[0] === 0 ? sum.concat(unit[1]) : sum }, [] )
return ed.length>0 ? ed.join("") : z
}
}
range = function(n){return Array.apply(null, Array(n)).map(function (_, i) {return i+1;});}
range(100).map(fbRule([[3, "fizz"],[5, "buzz"]]))
OR, use ramda [from https://codereview.stackexchange.com/questions/108449/fizzbuzz-in-javascript-using-ramda ]
var divisibleBy = R.curry(R.compose(R.equals(0), R.flip(R.modulo)))
var fizzbuzz = R.map(R.cond([
[R.both(divisibleBy(3), divisibleBy(5)), R.always('FizzBuzz')],
[divisibleBy(3), R.aklways('Fizz')],
[divisibleBy(5), R.always('Buzz')],
[R.T, R.identity]
]));
console.log(fizzbuzz(R.range(1,101)))

Count the prime numbers from 2 to 100 with simpler code than this

It has to be with just functions, variables, loops, etc (Basic stuff). I'm having trouble coming up with the code from scratch from what I've I learned so far(Should be able to do it). Makes me really mad :/. If you could give me step by step to make sure I understand I'd really really appreciated. Thanks a bunch in advanced.
How could I get the same result with a simpler code than this one:
var primes=4;
for (var counter = 2; counter <= 100; counter = counter + 1)
{
var isPrime = 0;
if(isPrime === 0){
if(counter === 2){console.log(counter);}
else if(counter === 3){console.log(counter);}
else if(counter === 5){console.log(counter);}
else if(counter === 7){console.log(counter);}
else if(counter % 2 === 0){isPrime=0;}
else if(counter % 3 === 0){isPrime=0;}
else if(counter % 5 === 0){isPrime=0;}
else if(counter % 7 === 0){isPrime=0;}
else {
console.log(counter);
primes = primes + 1;
}
}
}
console.log("Counted: "+primes+" primes");

I'm feeling naughty today so:
function printPrimesBetweenTwoAndOneHundredSimply(){
var primes = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97],
i,
arrayLength = primes.length;
for(i = 0; i < arrayLength; i++){
console.log(primes[i]);
}
console.log("Counted: " + arrayLength + " primes");
}

First, you really don't need to use === for this. The standard == will suffice. Second, you can make all of those lines that are the same thing, except for a single digit into one line:
var primes=4;
for (var counter = 2; counter <= 100; counter = counter + 1)
{
var isPrime = 0;
if(isPrime == 0){
if(counter == 2 || counter == 3 ||counter == 5 || counter == 7)console.log(counter);
else if(counter % 2 == 0 || counter % 3 == 0 || counter % 5 == 0 || counter % 7 == 0)isPrime=0;
else {
console.log(counter);
primes = primes + 1;
}
}
}
console.log("Counted: "+primes+" primes");
You'll also notice that the {} was removed on a few lines. This is because a single line of code following an if (among others) is always considered nested.
Next, we can change your primes = primes + 1; to this: primes++; which just tells primes to increment itself by one. The same can be done for your counter. We also know that isPrime equals "0" because you set it to that a second ago, so we no longer need that if statement:
var primes=4;
for (var counter = 2; counter <= 100; counter++)
{
var isPrime = 0;
if(counter == 2 || counter == 3 ||counter == 5 || counter == 7)console.log(counter);
else if(counter % 2 == 0 || counter % 3 == 0 || counter % 5 == 0 || counter % 7 == 0)isPrime=0;
else {
console.log(counter);
primes++;
}
}
console.log("Counted: "+primes+" primes");
Next, we can do a negative check (!= instead of ==) on the values and combine your else if with your else. Since we're doing a negative check (for this case) we have to switch the ORs (||) to ANDs (&&):
var primes=4;
for (var counter = 2; counter <= 100; counter++)
{
if(counter == 2 || counter == 3 ||counter == 5 || counter == 7)console.log(counter);
else if(counter % 2 != 0 && counter % 3 != 0 && counter % 5 != 0 && counter % 7 != 0) {
console.log(counter);
primes++;
}
}
console.log("Counted: "+primes+" primes");
There are many other ways to write it, but I felt it more beneficial to you to use what you started with and shorten it from there.

This finds all prime numbers between 2 and 100:
var primes=0;
var isprime = true;
for (var counter = 2; counter <= 100; counter = counter + 1)
{
// For now, we believe that it is a prime
isprime = true;
var limit = Math.round(Math.sqrt(counter)); // See comment from #AresAvatar, below
// We try to find a number between 2 and limit that gives us a reminder of 0
for (var mod = 2; mod <= limit; mod++) {
// If we find one, we know it's not a prime
if (counter%mod == 0) {
isprime = false;
break; // Break out of the inner for loop
}
}
if (isprime) {
console.log(counter, limit);
primes = primes + 1;
}
}
console.log("Counted: "+primes+" primes");

Of course "simpler" is not defined. :-)
The following can be made much shorter, but has a bit of robustness built in.
// Get primes from 0 to n.
// n must be < 2^53
function primeSieve(n) {
n = Number(n);
if (n > Math.pow(2, 53) || isNaN(n) || n < 1) {
return;
}
var primes = [];
var notPrimes = {};
var num;
for (var i=2; i<n; i++) {
for (var j=2; j<n/2; j++) {
num = i*j;
notPrimes[num] = num;
}
if (!(i in notPrimes)) {
primes.push(i);
}
}
return primes
}
So if you want less code:
// Get primes from 0 to n.
// n must be < 2^53
function primeSieve2(n) {
var primes = [], notPrimes = {};
for (var i=2; i<n; i++) {
for (var j=2; j<n/2; j++)
notPrimes[i*j] = i*j;
i in notPrimes? 0 : primes.push(i);
}
return primes
}

This is pretty simple (I mean, short):
console.log(2); console.log(3);
var m5=25, m7=49, i=5, d=2, c=2;
for( ; i<100; i+=d, d=6-d )
{
if( i!=m5 && i!=m7) { console.log(i); c+=1; }
if( m5 <= i ) m5+=10;
if( m7 <= i ) m7+=14;
}
c
It is an "unrolled" sieve of Eratosthenes with 2-3-wheel factorization.
On the one hand, we enumerate all the numbers below 100 (and bigger than 3) that are coprime with 2 and 3, as partial sums of 5+2+4+2+4+... , so that there are no multiples of 2 and 3 among thus enumerated numbers.
On the other hand, we discard from among them all the multiples of 5 and 7, by enumerating them as partial sums of 25+10+10+10+... and 49+14+14+14+... . Multiples of 2 and 3 are not there in the first place, and the first multiple of 11 that needs to be discarded by the sieve of Eratosthenes is 121.

This will be simpler for your Question....
for (int i = 2; i < 100; i++) {
int j = 0;
for (j = 2; j < i; j++)
if ((i % j) == 0)break;
if (i == j)
System.out.print(" " + i);}