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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-418-factorisation-triples.md
Oliver Eyton-Williams ee1e8abd87 feat(curriculum): restore seed + solution to Chinese (#40683)
* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
2021-01-12 19:31:00 -07:00

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Markdown

---
id: 5900f50f1000cf542c510021
title: 'Problem 418: Factorisation triples'
challengeType: 5
forumTopicId: 302087
dashedName: problem-418-factorisation-triples
---
# --description--
Let n be a positive integer. An integer triple (a, b, c) is called a factorisation triple of n if: 1 ≤ a ≤ b ≤ c
a·b·c = n.
Define f(n) to be a + b + c for the factorisation triple (a, b, c) of n which minimises c / a. One can show that this triple is unique.
For example, f(165) = 19, f(100100) = 142 and f(20!) = 4034872.
Find f(43!).
# --hints--
`euler418()` should return 1177163565297340400.
```js
assert.strictEqual(euler418(), 1177163565297340400);
```
# --seed--
## --seed-contents--
```js
function euler418() {
return true;
}
euler418();
```
# --solutions--
```js
// solution required
```