import sys
readline = sys.stdin.readline
from math import *

def Sieve(n):
    lst = [True] * (n + 1)
    S = set()
    for i in range(2, ceil(sqrt(n)) + 1):
        if lst[i]:
            for j in range(2 * i, n + 1, i):
                lst[j] = False
    for i in range(2, n + 1):
        if lst[i]:
            S.add(i)
    return sorted(list(S))

T = int(readline())
P = Sieve(202020)
for _ in range(T):
    X = int(readline())
    ans = 10 ** 18
    for p in P:
        now = p
        if ans < p:
            break
        while X % now == 0:
            now *= p
        ans = min(ans, now)
    print(X * ans)