import sys
input = sys.stdin.readline

import math

def fac(x):
    L=int(math.sqrt(x))

    FACT=dict()

    for i in range(2,L+2):
        while x%i==0:
            FACT[i]=FACT.get(i,0)+1
            x=x//i

    if x!=1:
        FACT[x]=FACT.get(x,0)+1
    return FACT

def faclist(x):  
    xr=math.ceil(math.sqrt(x))

    LIST=[]
    for i in range(1,xr+1):
        if x%i==0:
            LIST.append(i)
            LIST.append(x//i)

    return sorted(set(LIST))

def calc(N):

    while N%2==0:
        N//=2

    while N%5==0:
        N//=5

    if N==1:
        return 1
    F=fac(N)
    ANS=1
    for f in F:
        for i in faclist(f-1):
            if pow(10,i,f)==1:
                xx=i
                break

        while True:
            if pow(10,xx,f**F[f])==1:
                ANS*=xx
                break
            else:
                xx*=f

    for i in faclist(ANS):
        if pow(10,i,N)==1:
            return i

T=int(input())
for tests in range(T):
    N=int(input())
    print(calc(N))