using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var t = NN;
        var plist = new long[] { 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31 };
        var ans = new long[t];
        for (var u = 0; u < t; ++u)
        {
            var x = long.Parse(ReadLine());
            ans[u] = long.MaxValue;
            foreach (var p in plist)
            {
                var tmp = p;
                var xi = x;
                while (xi % p == 0)
                {
                    tmp *= p;
                    xi /= p;
                }
                if (tmp < 100) ans[u] = Math.Min(ans[u], x * tmp);
            }
        }
        WriteLine(string.Join("\n", ans));
    }
}