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 LIST

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

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

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

    if N==1:
        print(1)
        continue
    F=fac(N)
    A=[1]
    for f in F:
        B=[]
        for i in faclist(f-1):
            for a in A:
                B.append(a*(i**F[f]))
        A=list(set(B))

    A.sort()

    for a in A:
        if pow(10,a,N)==1:
            print(a)
            break