### Solved Problem 12

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12/README 0 → 100644
 Question: 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? Answer: 76576500
12/main.cpp 0 → 100644
 #include #include using namespace std; int main() { long int triangle_number = 0; int goal = 500; vector numbers; for(int i = 1; true; i++) { triangle_number += i; for(int j = 1; j < triangle_number/2; j++) { if(triangle_number % j == 0) { if(j == (triangle_number/j)) { numbers.push_back(j); break; } if(j > triangle_number/j) break; numbers.push_back(j); numbers.push_back(triangle_number/j); } } if(numbers.size() >= goal) break; else numbers.clear(); } cout << triangle_number << endl; return 0; }
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