#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using i128 = __int128_t;
using pii = pair<int, int>;
using pll = pair<long long, long long>;
template<class T> using vec = vector<T>;
template<class T> using vvec = vector<vector<T>>;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define rrep(i, n) for (int i = int(n) - 1; i >= 0; i--)
#define all(x) (x).begin(), (x).end()
constexpr char ln = '\n';
istream& operator>>(istream& is, __int128_t& x) {
    x = 0;
    string s;
    is >> s;
    int n = int(s.size()), it = 0;
    if (s[0] == '-') it++;
    for (; it < n; it++) x = (x * 10 + s[it] - '0');
    if (s[0] == '-') x = -x;
    return is;
}
ostream& operator<<(ostream& os, __int128_t x) {
    if (x == 0) return os << 0;
    if (x < 0) os << '-', x = -x;
    deque<int> deq;
    while (x) deq.emplace_front(x % 10), x /= 10;
    for (int e : deq) os << e;
    return os;
}
template<class T1, class T2>
ostream& operator<<(ostream& os, const pair<T1, T2>& p) {
    return os << "(" << p.first << ", " << p.second << ")";
}
template<class T> 
ostream& operator<<(ostream& os, const vector<T>& v) {
    os << "{";
    for (int i = 0; i < int(v.size()); i++) {
        if (i) os << ", ";
        os << v[i];
    }
    return os << "}";
}
template<class Container> inline int SZ(Container& v) { return int(v.size()); }
template<class T> inline void UNIQUE(vector<T>& v) { v.erase(unique(v.begin(), v.end()), v.end()); }
template<class T1, class T2> inline bool chmax(T1& a, T2 b) { if (a < b) {a = b; return true ;} return false ;}
template<class T1, class T2> inline bool chmin(T1& a, T2 b) { if (a > b) {a = b; return true ;} return false ;}
inline int topbit(ull x) { return x == 0 ? -1 : 63 - __builtin_clzll(x); }
inline int botbit(ull x) { return x == 0 ? 64 : __builtin_ctzll(x); }
inline int popcount(ull x) { return __builtin_popcountll(x); }
inline int kthbit(ull x, int k) { return (x>>k) & 1; }
inline constexpr long long TEN(int x) { return x == 0 ? 1 : TEN(x-1) * 10; }
inline void print() { cout << "\n"; }
template<class T>
inline void print(const vector<T>& v) {
    for (int i = 0; i < int(v.size()); i++) {
        if (i) cout << " ";
        cout << v[i];
    }
    print();
}
template<class T, class... Args>
inline void print(const T& x, const Args& ... args) {
    cout << x << " ";
    print(args...);
}
#ifdef MINATO_LOCAL
inline void debug_out() { cerr << endl; }
template <class T, class... Args>
inline void debug_out(const T& x, const Args& ... args) {
    cerr << " " << x;
    debug_out(args...);
}
#define debug(...) cerr << __LINE__ << " : [" << #__VA_ARGS__ << "] =", debug_out(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif
struct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////

// O(sqrt(N))
template<typename Int>
Int totient(Int N) {
    assert(N >= 1);
    Int ret = N;
    for (Int i = 2; i*i <= N; i++) {
        if (N % i == 0) {
            ret = ret / i * (i-1);
            while (N % i == 0) N /= i;
        }
    }
    if (N != 1) ret = ret / N * (N-1);
    return ret;
}

//O(sqrt(N))
template<typename Int>
vector<Int> divisor(Int x) {
    assert(x >= 1);
    vector<Int> ret;
    for (Int i = 1; i*i <= x; i++) {
        if (x % i == 0) {
            ret.emplace_back(i);
            ret.emplace_back(x/i);
        }
    }
    sort(ret.begin(),ret.end());
    ret.erase(unique(begin(ret), end(ret)), end(ret));
    return ret;
}

ll pow_mod(ll x, ll a, ll mod) {
    ll ret = 1;
    while (a) {
        if (a&1) ret = ret*x%mod;
        x = x*x%mod;
        a >>= 1; 
    }
    return ret;
}

void solve() {
    int N; cin >> N;
    while (N % 2 == 0) N /= 2;
    while (N % 5 == 0) N /= 5;
    if (N==1) {
        cout << 1 << ln;
        return;
    }
    auto t = totient(N);
    auto divs = divisor(t);
    for (auto e : divs) {
        if (pow_mod(10,e,N)==1) {
            cout << e << ln;
            return;
        }
    }
}

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