2018-10-08 13:51:51 -04:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								---
							 
						 
					
						
							
								
									
										
										
										
											2018-10-10 16:20:40 -04:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
								
									
								 
							
							
								id: 5900f4531000cf542c50ff66
							 
						 
					
						
							
								
									
										
										
										
											2018-10-08 13:51:51 -04:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								challengeType: 5
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								title: 'Problem 231: The prime factorisation of binomial coefficients'
							 
						 
					
						
							
								
									
										
										
										
											2018-10-10 16:20:40 -04:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
								
									
								 
							
							
								videoUrl: ''
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								localeTitle: 'Problema 231: la factorización prima de los coeficientes binomiales'
							 
						 
					
						
							
								
									
										
										
										
											2018-10-08 13:51:51 -04:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								---
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								## Description
 
							 
						 
					
						
							
								
									
										
										
										
											2018-10-10 16:20:40 -04:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
								
									
										 
									
								 
							
							
								< section  id = "description" >  El coeficiente binomial 10C3 = 120. 120 = 23 ×   3 ×   5 = 2 ×   2 ×   2 ×   3 ×   5, y 2 + 2 + 2 + 3 + 5 = 14. Por lo tanto, la suma de los términos en la factorización prima de 10C3 es 14 < p >  Encuentra la suma de los términos en la factorización prima de 20000000C15000000. < / p > < / section > 
							 
						 
					
						
							
								
									
										
										
										
											2018-10-08 13:51:51 -04:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								## Instructions
 
							 
						 
					
						
							
								
									
										
										
										
											2018-10-10 16:20:40 -04:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
								
									
								 
							
							
								< section  id = "instructions" > 
							 
						 
					
						
							
								
									
										
										
										
											2018-10-08 13:51:51 -04:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< / section > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								## Tests
 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< section  id = 'tests' > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								```yml
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								tests:
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								  -  text: < code > euler231()</ code >  debe devolver 7526965179680.
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								    testString: 'assert.strictEqual(euler231(), 7526965179680, "< code > euler231()< / code >  should return 7526965179680.");'
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< / section > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								## Challenge Seed
 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< section  id = 'challengeSeed' > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< div  id = 'js-seed' > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								function euler231() {
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								  // Good luck!
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								  return true;
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								}
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								euler231();
							 
						 
					
						
							
								
									
										
										
										
											2018-10-10 16:20:40 -04:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
									
										
										
										
											2018-10-08 13:51:51 -04:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< / section > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								## Solution
 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< section  id = 'solution' > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								// solution required
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
								
									
								 
							
							
								< / section >