using System;
using System.Collections;
using System.Collections.Generic;
using System.Diagnostics;
using System.IO;
using System.Linq;
using System.Numerics;
using System.Text;
using System.Text.RegularExpressions;
using System.Threading.Tasks;
using static System.Math;
public static class P
{
    public static void Main()
    {
        int t = int.Parse(Console.ReadLine());
        for (int i = 0; i < t; i++)
        {
            long n = int.Parse(Console.ReadLine());
            while (n % 2 == 0) n /= 2;
            while (n % 5 == 0) n /= 5;
            long res = long.MaxValue;
            for (int j = 1; j * j <= n; j++)
            {
                if (n % j != 0) continue;
                if (Power(10, j, n) == 1) res = Min(res, j);
                if (Power(10, n / j, n) == 1) res = Min(res, n / j);
            }
            Console.WriteLine(res);
        }

        static long Power(long n, long m, long mod)
        {
            long pow = n;
            long res = 1;
            while (m > 0)
            {
                if ((m & 1) == 1) res = (pow * res) % mod;
                pow = (pow * pow) % mod;
                m >>= 1;
            }
            return res;
        }
    }
}