#include <bits/stdc++.h>

int main() {
  using namespace std;
  cin.tie(nullptr)->sync_with_stdio(false);
  int tt;
  cin >> tt;
  while (tt--) {
    int64_t x;
    cin >> x;
    int mn = 1e9;
    for (int p : {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31}) {
      int cur = p;
      for (auto t = x; t % p == 0; t /= p) cur *= p;
      mn = min(mn, cur);
    }
    cout << mn * x << '\n';
  }
}