#include <bits/stdc++.h>
using namespace std;
int main() {
  int t;
  cin >> t;
  while (t--) {
    long long int n;
    cin >> n;
    if (n == 1) {
      cout << 0 << '\n';
      continue;
    }
    long long int ans = 0;
    while (n != 1) {
      ans++;
      if (n % 2 == 0) {
        n = n / 2;
      } else if (n % 3 == 0) {
        n = 2 * n / 3;
      } else if (n % 5 == 0) {
        n = 4 * n / 5;
      } else {
        ans = -1;
        break;
      }
    }
    cout << ans << '\n';
  }
}
