N = 1000
isprime = [True] * N
isprime[0] = isprime[1] = False
prime = []
for i in range(2, int(N ** 0.5 + 1)):
    if not isprime[i]:
        continue
    prime.append(i)
    for j in range(i * i, N, i):
        isprime[j] = False



def solve():
    x = int(input())
    min_ = 1 << 60
    for p in prime:
        if x % p != 0:
            print(min(p, min_) * x)
            return
        else:
            cnt = 0
            X = x
            while X % p == 0:
                X //= p
                cnt += 1
            min_ = min(min_, p ** (cnt + 1))
    
for _ in range(int(input())):
    solve()