import math
#素因数分解
#collections.Counter(prime_factorize(N))で個数を取得

#最大公約数
def lcm(x, y):
    return (x * y) // math.gcd(x, y)

def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a

T = int(input())
for i in range(T):
    N = int(input())
    L=list(set(prime_factorize(N)))
    if 2 in L:
        L.remove(2)
    if 5 in L:
        L.remove(5)
    if len(L)==0:
        print(1)
    else:
        rep = []
        for l in L:
            temp = 9 % l
            cnt = 1
            while temp!=0:
                temp = (temp*10+9)%l
                cnt+=1
            rep.append(cnt)
        lc = 1
        for r in rep:
            lc = lcm(lc,r)
        print(lc)