import math


def discrete_log(x,y,M):
    m = math.ceil(math.sqrt(M))
    pows = dict()
    p = 1
    for i in range(m):
        if p not in pows:
            pows[p] = i
        p = p*x%M
    inv = pow(x,m*(-1),M)
    tmp = y%M
    for i in range(m):
        if tmp in pows:
            return i*m+pows[tmp]
        tmp = tmp*inv%M
        
        
def get_length(d):
    while d%2 == 0:
        d //= 2
    while d%5 == 0:
        d //= 5
    if d == 1:
        return 1
    return discrete_log(10,pow(10,-1,d),d)+1


T = int(input())
for i in range(T):
    N = int(input())
    print(get_length(N))