#yuki-1339
T = int(input())

candidates = [2*i+1 for i in range(1, 15811)]
primelist = [2]
p = 3
while p**2 <= 31623:
    primelist.append(p)
    candidates = [c for c in candidates if c%p]
    p = candidates[0]
primelist += candidates
l = len(primelist)

def ediv(n):
    """
    nが奇数の時
    """
    from collections import defaultdict as ddt
    d = ddt(int)
    i = 1
    while i < l and primelist[i]**2 <= n:
        p = primelist[i]
        if not n%p:
            n //= p
            j = 0
            m = p-1
            while primelist[j]**2 <= m:
                q = primelist[j]
                while not m%p:
                    d[q] += 1
                    m //= q
                j += 1
            if m > 1:
                d[m] += 1
            while not n%p:
                n //= p
                d[p] += 1
        i += 1
    if n > 1:
        d[n] += 1
        
    ans = {1}
    for k in d.keys():
        plus = set()
        for x in ans:
            for ex in range(d[k]):
                plus.add(x*k**(ex+1))
        ans |= plus
    return sorted(ans)

for _ in range(T):
    N = int(input())  #10**9以下
    while not N%2:
        N //= 2
    while not N%5:
        N //= 5
    if N == 1:
        print(1)
    for d in ediv(N):
        if pow(10, d, N) == 1:
            print(d)
            break