import sys
input = lambda: sys.stdin.readline().rstrip()

def get_primelist(n: int) -> list:
  # eratosthenes,O(NloglogN)
  if n == 1:
    return []
  ret = list(range(2, n+1))
  p = []
  while ret[0]**2 <= n:
    tmp = ret[0]
    p.append(tmp)
    ret = [e for e in ret if e%tmp != 0]
  return p + ret

#  -----------------------  #

prime = get_primelist(10**6)

def main():
  n = int(input())
  for p in prime:
    if n % p != 0:
      return n * p

print('\n'.join(str(main()) for _ in range(int(input()))))