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Problem_012.c
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Problem_012.c
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
/*
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?
*/
int main(void)
{
int nextNaturalNumber = 1;
int counter = 0;
int number = 0;
int possibleDivisors = 0;
int found = 0;
int divided;
while(found == 0)
{
number = number + nextNaturalNumber;
divided = 0;
for(possibleDivisors = 1; possibleDivisors <= (sqrt(number)); possibleDivisors++)
{
if(number % possibleDivisors == 0)
{
divided++;
}
}
if(divided >= 250)
{
found = 1;
}
nextNaturalNumber++;
}
printf("The number is: %d\n", number);
}