---
id: 5900f4531000cf542c50ff66
challengeType: 5
title: 'Problem 231: The prime factorisation of binomial coefficients'
---
## Description
The binomial coefficient 10C3 = 120.
120 = 23 × 3 × 5 = 2 × 2 × 2 × 3 × 5, and 2 + 2 + 2 + 3 + 5 = 14.
So the sum of the terms in the prime factorisation of 10C3 is 14.
Find the sum of the terms in the prime factorisation of 20000000C15000000.
## Instructions
## Tests
```yml
tests:
- text: euler231() should return 7526965179680.
testString: 'assert.strictEqual(euler231(), 7526965179680, "euler231() should return 7526965179680.");'
```
## Challenge Seed
```js
function euler231() {
// Good luck!
return true;
}
euler231();
```