#include <bits/stdc++.h>
using namespace std;
int main() {
  ios::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
  int t;
  cin >> t;
  while (t--) {
    int x;
    cin >> x;
    bool ok = false;
    for (int n = 3; n <= 360; n++)
      if (360 % n == 0 && 180 - 360 / n == x) {
        cout << n << endl;
        ok = true;
        break;
      }
    if (ok) continue;
    int k = 180;
    if (x % 2 == 0) {
      x /= 2;
      k /= 2;
    }
    if (x % 2 == 0) {
      x /= 2;
      k /= 2;
    }
    if (x % 3 == 0) {
      x /= 3;
      k /= 3;
    }
    if (x % 3 == 0) {
      x /= 3;
      k /= 3;
    }
    if (x % 5 == 0) {
      x /= 5;
      k /= 5;
    }
    ok = false;
    for (int c = x, i = 0; i < 1000; c += x) {
      int n = (k * c) / x;
      if (1 <= c && c <= n - 2) {
        cout << n << endl;
        ok = true;
        break;
      }
    }
    if (ok) continue;
    cout << -1 << endl;
  }
  return 0;
}
