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curriculum/challenges/italian/10-coding-interview-prep/rosetta-code/factors-of-an-integer.md

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+---
+id: 597f1e7fbc206f0e9ba95dc4
+title: Factors of an integer
+challengeType: 5
+forumTopicId: 302265
+dashedName: factors-of-an-integer
+---
+
+# --description--
+
+Write a function that returns the factors of a positive integer as an array.
+
+These factors are the positive integers by which the number being factored can be divided to yield a positive integer result.
+
+# --hints--
+
+`factors` should be a function.
+
+```js
+assert(typeof factors === 'function');
+```
+
+`factors(45)` should return `[1,3,5,9,15,45]`.
+
+```js
+assert.deepEqual(factors(45), ans[0]);
+```
+
+`factors(53)` should return `[1,53]`.
+
+```js
+assert.deepEqual(factors(53), ans[1]);
+```
+
+`factors(64)` should return `[1,2,4,8,16,32,64]`.
+
+```js
+assert.deepEqual(factors(64), ans[2]);
+```
+
+# --seed--
+
+## --after-user-code--
+
+```js
+const ans=[[1,3,5,9,15,45],[1,53],[1,2,4,8,16,32,64]];
+```
+
+## --seed-contents--
+
+```js
+function factors(num) {
+
+}
+```
+
+# --solutions--
+
+```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;
+}
+```