freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/rosetta-code/factors-of-an-integer.engli...

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---
title: Factors of an integer
id: 597f1e7fbc206f0e9ba95dc4
challengeType: 5
---
## Description
<section id='description'>
<p>Write a function that returns the factors of a positive integer.</p><p>These factors are the positive integers by which the number being factored can be divided to yield a positive integer result.</p>
///
</section>
## Instructions
<section id='instructions'>
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>factors</code> is a function.
testString: assert(typeof factors === 'function', '<code>factors</code> is a function.');
- text: <code>factors(45)</code> should return <code>[1,3,5,9,15,45]</code>.
testString: assert.deepEqual(factors(45), ans[0], '<code>factors(45)</code> should return <code>[1,3,5,9,15,45]</code>.');
- text: <code>factors(53)</code> should return <code>[1,53]</code>.
testString: assert.deepEqual(factors(53), ans[1], '<code>factors(53)</code> should return <code>[1,53]</code>.');
- text: <code>factors(64)</code> should return <code>[1,2,4,8,16,32,64]</code>.
testString: assert.deepEqual(factors(64), ans[2], '<code>factors(64)</code> should return <code>[1,2,4,8,16,32,64]</code>.');
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function factors (num) {
// Good luck!
}
```
</div>
### After Test
<div id='js-teardown'>
```js
const ans=[[1,3,5,9,15,45],[1,53],[1,2,4,8,16,32,64]];
```
</div>
</section>
## Solution
<section id='solution'>
```js
function factors(num)
{
let n_factors = [], i, sqr=Math.floor(Math.sqrt(num));
for (i = 1; i <=sqr ; i += 1)
if (num % i === 0)
{
n_factors.push(i);
if (num / i !== i)
n_factors.push(num / i);
}
n_factors.sort(function(a, b){return a - b;});
return n_factors;
}
```
</section>