#include <algorithm>
#include <cassert>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <iostream>
#include <numeric>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <functional>
#include <iomanip>
using namespace std;
using ll = long long;

class range {private: struct I{int x;int operator*(){return x;}bool operator!=(I& lhs){return x<lhs.x;}void operator++(){++x;}};I i,n;
public:range(int n_):i({0}),n({n_}){}range(int i_,int n_):i({i_}),n({n_}){}I& begin(){return i;}I& end(){return n;}};

template<typename T, typename U> ostream& operator<<(ostream& os, const pair<T, U>& p){ return os << "{" << p.first << ", " << p.second << "}"; }
template<typename T> ostream& operator<<(ostream& os, const vector<T>& obj) { os << "{"; for (const auto& e : obj) os << e << ", "; return os << "}"; }
template<typename T> ostream& operator<<(ostream& os, const set<T>& obj) { os << "set{"; for (const auto& e : obj) os << e << ", "; return os << "}"; }
template<typename T, typename U> ostream& operator<<(ostream& os, const map<T, U>& obj) { os << "map{"; for (const auto& e : obj) os << e << ", "; return os << "}"; }
template<typename T> void take(vector<T>& vec, int n) { vec.resize(n); for (int i = 0; i < n; ++i) cin >> vec[i]; }

#ifdef ONLINE_JUDGE
#define dump(expr) ;
#else
#define dump(expr) { cerr << "\033[33m#L" << __LINE__ << ": " << expr << "\033[39m" << endl; }
#endif

ll power(ll a, ll b, ll mod) {
  if (b == 0)
    return 1LL;
  if (b % 2)
    return (a * power(a, b - 1, mod)) % mod;
  else {
    ll x = power(a, b / 2, mod);
    return (x * x) % mod;
  }
}

namespace solver {

template<typename T1, typename T2> struct In2 {
  T1 a; T2 b;
  friend std::istream& operator>>(std::istream& is, In2& obj) { T1 t1; T2 t2; is >> t1 >> t2; obj = {t1, t2}; return is; }
};

template<typename T1, typename T2, typename T3> struct In3 {
  T1 a; T2 b; T3 c;
  friend std::istream& operator>>(std::istream& is, In3& obj) { T1 t1; T2 t2; T3 t3; is >> t1 >> t2 >> t3; obj = {t1, t2, t3}; return is; }
};

int t;
vector<int> ns;

int totient_function(int n) {
  if (n <= 1) return 0;

  int ret = 1;
  for (int n0 = n, k = 2; k * k <= n0; ++k) {
    int e = 0;
    while (n % k == 0) {
      n /= k;
      if (e++ == 0) ret *= k - 1;
      else ret *= k;
    }
  }
  if (n > 1) ret *= n - 1;
  return ret;
}

void read() {
  cin >> t;
  take(ns, t);
}

using RetType = void;

void naive(int n) {
  map<int, int> mp;
  int now = 1;
  for (int it = 1; ; ++it) {
    now *= 10;
    now %= n;

    if (mp.count(now)) {
      dump(it - mp[now]);
      return;
    }
    mp[now] = it;

    // dump("NAIVE:" << now);
  }
}

RetType run() {
  for (int n : ns) {
    // naive(n);

    while (n % 2 == 0) n /= 2;
    while (n % 5 == 0) n /= 5;

    if (n == 1) {
      cout << 1 << endl;
      continue;
    }

    int phi = totient_function(n);

    dump(n << " " << phi);

    int res = n;
    for (int k = 1; k * k <= phi; ++k) if (phi % k == 0) {
      if (res > k       && power(10, k, n) == 1) res = min(res, k);
      if (res > phi / k && power(10, phi / k, n) == 1) res = min(res, phi / k);
    }
    cout << res << endl;
  }
}

}  // namespace

template <typename F>
void run(F f) { if constexpr (std::is_same_v<decltype(f()), void>) f(); else cout << f() << endl; }

int main(int argc, char** argv) {
  cerr << fixed << setprecision(12);
  cout << fixed << setprecision(12);
  int testcase = 1;
  if (argc > 1) testcase = atoi(argv[1]);
  while (testcase--) {
    solver::read();
  }
  run(solver::run);
}