#include<iostream>
#include<vector>
#include<cmath>
#include<map>
#include<algorithm>
using namespace std;
using lli = long long int;
using pii = std::pair<lli, lli>;


int main(){
    lli t;
    cin >> t;
    for(int i = 0; i < t; i++) {
        lli x;
        cin >> x;
        // cout << x << endl;;
        bool flag = false;
        lli cnt = 0;
        lli ans = 1e9;
        for(lli j = 2; j <= 35 and not flag; j++) {
            if(x%j != 0){
                ans = min(ans, j);
                flag = true;
            }            
        }

        vector<lli> c(11, 0), 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 < c.size(); j++) {
            lli tmp = x;
            while(tmp%d[j] == 0){
                tmp /= d[j];
                c[j]++;
            }
            ans = min(ans, (lli)pow(d[j], (c[j]+1)));
        }
        cout << ans*x << endl;
    }
}