#include <atcoder/math>
using namespace atcoder;
// using mint = modint1000000007;
// using mint = modint998244353;
#include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (int)n; ++i)
#define rrep(i, n) for (int i = (int)n-1; i >= 0; --i)
using namespace std;
using ll = long long;
template<typename T>
inline bool chmax(T& a, const T& b) {
    if (a < b){
        a = b;
        return true;
    }
    return false;
}
template<typename T>
inline bool chmin(T& a, const T& b) {
    if (b < a) {
        a = b;
        return true;
    }
    return false;
}
/**
 * @brief 多次元 vector の作成
 * @author えびちゃん
 */
namespace detail {
    template<typename T, int N>
    auto make_vec(vector<int>& sizes, T const& x) {
        if constexpr (N == 1) {
            return vector(sizes[0], x);
        } else {
            int size = sizes[N-1];
            sizes.pop_back();
            return vector(size, make_vec<T, N-1>(sizes, x));
        }
    }
}
template<typename T, int N>
auto make_vec(int const(&sizes)[N], T const& x = T()) {
    vector<int> s(N);
    for (int i = 0; i < N; ++i) s[i] = sizes[N-i-1];
    return detail::make_vec<T, N>(s, x);
}
__attribute__((constructor))
void fast_io() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
}

vector<pair<long long, int>> factor(long long x) {
    vector<pair<long long, int>> res;
    for (long long i = 2; i*i <= x; ++i) {
        if (x % i) continue;
        res.emplace_back(i, 0);
        while (x % i == 0) {
            x /= i;
            res.back().second++;
        }
    }
    if (x != 1) res.emplace_back(x, 1);
    return res;
}

vector<long long> enum_div(long long n) {
    vector<long long> res;
    for (long long i = 1; i*i <= n; i++) {
        if (n % i) continue;
        res.push_back(i);
        if (i*i != n) res.push_back(n/i);
    }
    sort(res.begin(), res.end());
    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;
    }
    long long ans = 1;
    auto f = factor(n);
    for (auto [p, k] : f) {
        auto d = enum_div(p - 1);
        for (auto x : d) {
            if (pow_mod(10, x, p) == 1) {
                ans = lcm(ans, x);
                break;
            }
        }
    }
    cout << ans << '\n';
}

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