T = int(input())

C = 10 ** 6
dat = [0] * C
prime = []
for i in range(2,C):
    if dat[i] == 0:
        prime.append(i)
        for j in range(2 * i,C,i):
            dat[j] = 1
for _ in range(T):
    X = int(input())
    u = X
    P = -1
    ans = 1 << 30
    a = None
    b = None
    for p in prime:
        if X % p != 0:
            P = p
            break
        else:
            count = 0
            while X % p == 0:
                count += 1
                X //= p
            if pow(p,count + 1) < ans:
                ans = p ** (count+1)
            if count == 1 and a is None:
                a = p
            if count == 2 and b is None:
                b = p
    if P < ans:
        ans = P
    if a is not None and b is not None:
        if a * b < ans:
            ans = a * b
    print(ans * u)