P=[2,3,5,7,11,13,17,19,23,29]

def f(x):
  a=1
  for p in P:
    c=0
    while x%p==0:
      x//=p
      c+=1
    a*=c+1
  return a

T=int(input())
for _ in range(T):
  X=int(input())
  C=f(X)
  for i in range(2,30):
    if C*2==f(X*i):
      print(X*i)
      break