This code finds the largest prime factor of 600851475143. It repeatedly divides out smaller factors, then prints the largest prime factor found.
#include <cmath>
#include <iostream>
#include <map>
using namespace std;
void solve(void) {
long long n = 600851475143;
map<long long, int> ans;
for (long long i=2; i*i<=n; i++) {
while (!(n % i)) ans[i]++, n /= i;
}
if (n > 1) ans[n]++;
cout << ans.rbegin()->first;
}
int main(void) {
ios::sync_with_stdio(false);
cin.tie(nullptr);
solve();
return 0;
}