import sys

input = sys.stdin.readline

def euler_phi(n):
  res = n
  for x in range(2, int(n**.5)+1):
    if n % x == 0:
      res = res // x * (x-1)
      while n % x == 0:
        n //= x
  if n!=1:
      res = (res//n) * (n-1)
  return res

def ind(b,n):
    res=0
    while n%b==0:
        res+=1
        n//=b
    return res

def isPrimeMR(n):
    d = n - 1
    d = d // (d & -d)
    L = [2, 3, 5, 7, 11, 13, 17]
    for a in L:
        t = d
        y = pow(a, t, n)
        if y == 1: continue
        while y != n - 1:
            y = (y * y) % n
            if y == 1 or t == n - 1: return 0
            t <<= 1
    return 1
def findFactorRho(n):
    m = 1 << n.bit_length() // 8
    for c in range(1, 99):
        f = lambda x: (x * x + c) % n
        y, r, q, g = 2, 1, 1, 1
        while g == 1:
            x = y
            for i in range(r):
                y = f(y)
            k = 0
            while k < r and g == 1:
                ys = y
                for i in range(min(m, r - k)):
                    y = f(y)
                    q = q * abs(x - y) % n
                g = gcd(q, n)
                k += m
            r <<= 1
        if g == n:
            g = 1
            while g == 1:
                ys = f(ys)
                g = gcd(abs(x - ys), n)
        if g < n:
            if isPrimeMR(g): return g
            elif isPrimeMR(n // g): return n // g
            return findFactorRho(g)
def primeFactor(n):
    i = 2
    ret = {}
    rhoFlg = 0
    while i*i <= n:
        k = 0
        while n % i == 0:
            n //= i
            k += 1
        if k: ret[i] = k
        i += 1 + i % 2
        if i == 101 and n >= 2 ** 20:
            while n > 1:
                if isPrimeMR(n):
                    ret[n], n = 1, 1
                else:
                    rhoFlg = 1
                    j = findFactorRho(n)
                    k = 0
                    while n % j == 0:
                        n //= j
                        k += 1
                    ret[j] = k

    if n > 1: ret[n] = 1
    if rhoFlg: ret = {x: ret[x] for x in sorted(ret)}
    return ret

def divisors(n):
    prime = primeFactor(n)
    res = [1]
    for p in prime:
        new = []
        for a in res:
            for j in range(prime[p]+1):
                new.append(a*p**j)
        res = new
    return res

ans = []
for _ in range(int(input())):
    N = int(input())
    while N%2==0:
        N //= 2
    while N%5==0:
        N //= 5
    primef = primeFactor(N)
    phi = N
    for p in primef:
        phi *= (p-1)
        phi //= p
    divi = divisors(phi)
    #print(divi)
    for d in divi:
        if pow(10,d,N)==1:
            ans.append(d)
            break
    if N==1:
        ans.append(1)

print(*ans,sep="\n")