x=2*10**5

import math 
L=math.floor(math.sqrt(x)) # 平方根を求める

Primelist=[i for i in range(x+1)]
Primelist[1]=0 # 1は素数でないので0にする.
 
for i in Primelist:
    if i>L:
        break
    if i==0:
        continue
    for j in range(2*i,x+1,i):
        Primelist[j]=0

Primes=[Primelist[j] for j in range(x+1) if Primelist[j]!=0]

T=int(input())
for tests in range(T):
    X=int(input())
    Y=X
    ANS=1<<30

    for p in Primes:
        if p>ANS:
            break
        
        if X%p!=0:
            ANS=min(ANS,p)
            break
        c=0
        while X%p==0:
            X//=p
            c+=1
        ANS=min(ANS,p**((c+1)*2-1-c))
        #print("!",p,c,ANS)

    print(ANS*Y)