#include <bits/stdc++.h>
using namespace std;

long long euler_phi(long long n) {
    long long res = n;
    for (long long i = 2; i * i <= n; ++i) {
        if (n % i == 0) {
            res = res / i * (i - 1);
            while (n % i == 0) n /= i;
        }
    }
    if (n != 1) res = res / n * (n - 1);
    return res;
}

long long pow_mod(long long a, long long n, long long m) {
    long long res = 1;
    while (n > 0) {
        if (n & 1) res = res * a % m;
        a = a * a % m;
        n >>= 1;
    }
    return res;
}

void solve() {
    int n;
    cin >> n;
    while (n % 2 == 0) n /= 2;
    while (n % 5 == 0) n /= 5;
    if (n == 1) {
        cout << 1 << '\n';
        return;
    }
    int phi = euler_phi(n);
    int ans = INT_MAX;
    for (long long i = 1; i * i <= phi; ++i) {
        if (phi % i == 0) {
            if (pow_mod(10, i, n) == 1) ans = min<int>(ans, i);
            if (pow_mod(10, phi / i, n) == 1) ans = min<int>(ans, phi / i);
        }
    }
    cout << ans << '\n';
}

int main() {
    int t;
    cin >> t;
    while (t--) solve();
}