import java.io.*;
import java.util.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        int[] primes = new int[]{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31};
        int[][] counts = new int[32][primes.length];
        for (int i = 2; i <= 31; i++) {
            int x = i;
            for (int j = 0; j < primes.length && x > 1; j++) {
                while (x % primes[j] == 0) {
                    x /= primes[j];
                    counts[i][j]++;
                }
            }
        }
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < n; i++) {
            long x = sc.nextLong();
            long y = x;
            int[] base = new int[primes.length];
            long target = 1;
            for (int j = 0; j < primes.length; j++) {
                while (y % primes[j] == 0) {
                    base[j]++;
                    y /= primes[j];
                }
                target *= base[j] + 1;
            }
            long ans = Long.MAX_VALUE;
            for (int j = 2; j <= 31; j++) {
                long tmp = 1;
                for (int k = 0; k < primes.length; k++) {
                    tmp *= base[k] + counts[j][k] + 1;
                }
                if (target * 2 == tmp) {
                    ans = j;
                    break;
                }
            }
            sb.append(x * ans).append("\n");
        }
        System.out.print(sb);
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public String next() throws Exception {
        if (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
}