import sys
sys.setrecursionlimit(3*10**5)
t = int(input())
b = {}
for _ in range(t):
    n = int(input())
    dic = {}
    now = 1
    for i in range(2,10**5):
        if i**2 > n:
            break
        while n%i == 0:
            n //= i
    if n == 1:
        print(1)
        continue
    if n in b:
        print(b[n])
        continue

    while now < n:
        now *= 10
    
    c = 0
    ans = 1
    while now:
        x,now = divmod(now,n)
        if now in dic:
            ans = c-dic[now]
            break
        dic[now] = c
        if c >= 10**5:
            ans = n-1
            break
        now *= 10
        #print(now)
        c += 1
    b[n] = ans
    print(ans)