#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;
}
struct mint {
	ll x; // typedef long long ll;
	mint(ll x = 0) :x((x%mod + mod) % mod) {}
	mint operator-() const { return mint(-x); }
	mint& operator+=(const mint a) {
		if ((x += a.x) >= mod) x -= mod;
		return *this;
	}
	mint& operator-=(const mint a) {
		if ((x += mod - a.x) >= mod) x -= mod;
		return *this;
	}
	mint& operator*=(const mint a) {
		(x *= a.x) %= mod;
		return *this;
	}
	mint operator+(const mint a) const {
		mint res(*this);
		return res += a;
	}
	mint operator-(const mint a) const {
		mint res(*this);
		return res -= a;
	}
	mint operator*(const mint a) const {
		mint res(*this);
		return res *= a;
	}
	mint pow(ll t) const {
		if (!t) return 1;
		mint a = pow(t >> 1);
		a *= a;
		if (t & 1) a *= *this;
		return a;
	}

	// for prime mod
	mint inv() const {
		return pow(mod - 2);
	}
	mint& operator/=(const mint a) {
		return (*this) *= a.inv();
	}
	mint operator/(const mint a) const {
		mint res(*this);
		return res /= a;
	}
};
istream& operator>>(istream& is, mint& a) { return is >> a.x; }
ostream& operator<<(ostream& os, const mint& a) { return os << a.x; }
mint POW(mint n, int p) {
	if (p == 0)return 1;
	if (p % 2 == 0) {
		mint t = POW(n, p / 2);
		return t * t;
	}
	return n * POW(n, p - 1);
}
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;
		}
		mod = 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 (POW(10, p).x == 1) {
				cout << p << endl; break;
			}
		}
	}
	return 0;
}