sol2.c

/**
 * \file
 * \brief [Problem 3](https://projecteuler.net/problem=3) solution
 *
 * Problem:
 *
 * The prime factors of 13195 are 5,7,13 and 29. What is the largest prime
 * factor of a given number N? e.g. for 10, largest prime factor = 5. For 17,
 * largest prime factor = 17.
 */
#include <stdio.h>

/** Main function */
int main()
{
    int n = 0;
    scanf("%d", &n);
    int prime = 1;
    int i = 2;
    while (i * i <= n)
    {
        while (n % i == 0)
        {
            prime = i;
            n /= i;
        }
        i += 1;
    }
    if (n > 1)
        prime = n;
    printf("%d\n", prime);
    return 0;
}