#include <iostream>
#include <algorithm>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <numeric>
#include <bitset>
#include <cmath>

static const int MOD = 1000000007;
using ll = long long;
using u32 = unsigned;
using u64 = unsigned long long;
using namespace std;

template<class T> constexpr T INF = ::numeric_limits<T>::max() / 32 * 15 + 208;

template <class T>
T pow_ (T x, T n, T M){
    uint64_t u = 1, xx = x;
    while (n > 0){
        if (n&1) u = u * xx % M;
        xx = xx * xx % M;
        n >>= 1;
    }
    return static_cast<T>(u);
};

template<class T>
vector<T> divisor(T n){
    vector<T> ret;
    for(T i = 1; i * i <= n; i++) {
        if(n % i == 0) {
            ret.push_back(i);
            if(i * i != n) ret.push_back(n / i);
        }
    }
    sort(begin(ret), end(ret));
    return(ret);
}

void solve(){
    int x;
    cin >> x;
    while(x%2 == 0) x /= 2;
    while(x%5 == 0) x /= 5;
    if(x == 1) {
        puts("1");
        return;
    }
    int phi = x, xx = x;
    for (int i = 2; i * i <= x; ++i) {
        if (xx % i == 0) {
            phi -= phi / i;
            while(xx % i == 0) xx /= i;
        }
    }
    if(xx > 1) phi -= phi/xx;
    for (auto &&i : divisor(phi)) {
        if(pow_(10, i, x) == 1){
            cout << i << "\n";
            return;
        }
    }
}

int main() {
    int t;
    cin >> t;
    while(t--){
        solve();
    }
    return 0;
}