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

using ll = long long;
using P = pair<ll, ll>;
const ll INF = (1LL << 61);
ll mod = 998244353;

vector<P> prime_factorize(ll N) {
	vector<P> res;
	for (ll a = 2; a * a <= N; a++) {
		if (N % a != 0)continue;
		ll ex = 0;
		while (N % a == 0) {
			ex++; N /= a;
		}
		res.push_back({ a,ex });
	}
	if (N != 1)res.push_back({ N, 1 });
	return res;
}
vector<ll> enum_divisors(ll N) {
	vector<ll> res;
	for (ll i = 1; i * i <= N; i++) {
		if (N % i == 0) {
			res.push_back(i);
			if (N / i != i)res.push_back(N / i);
		}
	}
	sort(res.begin(), res.end());
	return res;
}
ll beki[10010];
signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	ll T; cin >> T;
	for (int _ = 0; _ < T; _++) {
		ll N; cin >> N;
		while (N % 2 == 0)N /= 2;
		while (N % 5 == 0)N /= 5;
		if (N == 1) {
			cout << 1 << endl; continue;
		}
		ll now = 1;
		for (int i = 0; i < 2010; i++) {
			beki[i] = now;
			now *= 10; now %= N;
		}
		ll phi = N;
		for (auto p : prime_factorize(N)) {
			phi *= (p.first - 1);
			phi /= p.first;
		}
		vector<ll> a = enum_divisors(phi);
		for (auto p : a) {
			if (beki[p] == 1) {
				cout << p << endl; break;
			}
		}
	}
	return 0;
}