N=int(input())
def m(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])
    if temp!=1:
        arr.append([temp, 1])
    if arr==[]:
        arr.append([n, 1])
    cnt=1
    for a,b in arr:
      cnt*=b+1
    return cnt

for i in range(N):
  d=int(input())
  cnta=m(d)
  for j in range(2,10001):
    cntb=m(j*d)
    if cnta*2==cntb:
      print(d*j)
      break