#include <bits/stdc++.h>
using namespace std;
int main() {
  long long int t;
  cin >> t;
  while (t--) {
    long long int n;
    cin >> n;
    long long int ans;
    long long int f = 0;
    for (long long int i = 3; i <= 360; i++) {
      if ((n * i) % 180 == 0 && (n * i) / 180 <= i - 2) {
        f = 1;
        ans = i;
        break;
      }
    }
    if (f == 1)
      cout << ans << endl;
    else
      cout << -1 << endl;
  }
}
