# Problem 12

Solution to Problem 12. Written in Python.

Problem: The sequence of triangle numbers is generated by adding the natural numbers. So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first ten terms would be: 1, 3, 6, 10, 15, 21, 28, 36, 45, 55,…

Let us list the factors of the first seven triangle numbers:

**1:** 1

**3:** 1,3

**6:** 1,2,3,6

**10:** 1,2,5,10

**15:** 1,3,5,15

**21:** 1,3,7,21

**28:** 1,2,4,7,14,28

We can see that 28 is the first triangle number to have over five divisors. What is the value of the first triangle number to have over five hundred divisors?