#include<iostream>
#include<array>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<complex>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<utility>
#include<tuple>
#include<cassert>
using namespace std;
typedef long long ll;
typedef unsigned int ui;
const ll mod = 1000000007;
const ll INF = (ll)1000000007 * 1000000007;
typedef pair<int, int> P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define Per(i,sta,n) for(int i=n-1;i>=sta;i--)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
typedef long double ld;
const ld eps = 1e-8;
const ld pi = acos(-1.0);
typedef pair<ll, ll> LP;
int dx[4]={1,-1,0,0};
int dy[4]={0,0,1,-1};
template<class T>bool chmax(T &a, const T &b) {if(a<b){a=b;return 1;}return 0;}
template<class T>bool chmin(T &a, const T &b) {if(b<a){a=b;return 1;}return 0;}

int n;

template<typename T> 
map<T,int> factorize(T x){
    map<T,int> res;
    for(T i=2;i*i<=x;i++){
        while(x%i==0){
            x/=i;
            res[i]++;
        }
    }
    if(x!=1) res[x]++;
    return res;
}

template<typename T>
vector<T> divisor_list(T x){
    vector<T> res;
    for(T i=1;i*i<=x;i++){
        if (x%i==0) {
            res.push_back(i);
            if (i*i!=x) res.push_back(x/i);
        }
    }
    return res;
}

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

void solve(){
    while(n%2==0) n/=2;
    while(n%5==0) n/=5;
    if(n==1) {
        cout << 1 << endl;
        return;
    }
    map<int,int> f=factorize(n);
    int t=n;
    for(auto p:f){
        t/=p.first;
        t*=p.first-1;
    }
    vector<int> ds=divisor_list(t);sort(ds.begin(),ds.end());
    for(int d:ds){
        if(power(10,d,n)==1) {
            cout << d << endl;
            return;
        }
    }
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << fixed << setprecision(50);
    int T;
    cin >> T;
    rep(i,T){
        cin >> n;
        solve();
    }
}