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

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int t = sc.nextInt();
        int[] primes = new int[]{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31};
        StringBuilder sb = new StringBuilder();
        while (t-- > 0) {
            long x = sc.nextLong();
            long tmp = x;
            long ans = Long.MAX_VALUE;
            for (int y : primes) {
                int count = 0;
                while (tmp % y == 0) {
                    tmp /= y;
                    count++;
                }
                ans = Math.min(ans, pow(y, count + 1));
            }
            sb.append(x * ans).append("\n");
        }
        System.out.print(sb);
    }
    
    static long pow(long x, int p) {
        if (p == 0) {
            return 1;
        } else {
            return pow(x, p - 1) * x;
        }
    }
}

class Utilities {
    static String arrayToLineString(Object[] arr) {
        return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n"));
    }
    
    static String arrayToLineString(int[] arr) {
        return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new));
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public int[] nextIntArray() throws Exception {
        return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray();
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}