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

for _ in range(T):
    N = int(input())
    while not N%2:
        N //= 2
    while not N%5:
        N //= 5
    i, ans = 3, N
    while i**2 <= N:
        if not N%i:
            ans -= ans//i
            while not N%i:
                N //= i
        i += 2
    if N > 1:
        ans -= ans//N
    if ans < 2:
        print(1)
    else:
        fw, bw = [], []
        j = 1
        while j**2 <= ans:
            if not ans%j:
                fw.append(j)
                bw.append(ans//j)
            j += 1
        d = fw+bw[::-1]
        flag = 0
        i = 0
        while not flag:
            if pow(10, d[i], N) == 1:
                print(d[i])
                flag = 1
            i += 1