#include<iostream>
#include<vector>
#include<cmath>
#include<algorithm>
using namespace std;
using lli = long long int;


int main(){
    lli t;
    cin >> t;
    for(int i = 0; i < t; i++) {
        lli x;
        cin >> x;
        lli cnt = 0;
        lli ans = 1e9;
        for(lli j = 2; j <= 35; j++) {
            if(x%j != 0){
                ans = min(ans, j);
            }            
        }

        vector<lli> d(11);
        d[0] = 2, d[1] = 3, d[2] = 5, d[3] = 7, d[4] = 11, d[5] = 13, d[6] = 17, d[7] = 19, d[8] = 23, d[9] = 29, d[10] = 31;
        for(int j = 0; j < d.size(); j++) {
            lli tmp = x, c = d[j];
            while(tmp%d[j] == 0){
                tmp /= d[j];
                c *= d[j];
            }
            if(c > d[j]) ans = min(ans, c);
        }
        cout << ans*x << endl;
    }
}