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

Question

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]);
}

Answer 1

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(' '))

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