import math

def fac(x):
    L=int(math.sqrt(x))

    FACT=dict()

    for i in range(2,L+2):
        while x%i==0:
            FACT[i]=FACT.get(i,0)+1
            x=x//i

    if x!=1:
        FACT[x]=FACT.get(x,0)+1

    return FACT

F=[[],[]]

for i in range(2,1000):
    F.append(fac(i))


T=int(input())
for tests in range(T):
    X=int(input())

    for i in range(2,1000):
        Y=X
        FA=F[i]

        bunbo=1
        bunsi=1

        for fa in FA:
            c=0
            while Y%fa==0:
                Y//=fa
                c+=1

            # c+FA[fa]+1/c+1
            bunbo*=c+1
            bunsi*=c+FA[fa]+1

        if bunbo*2==bunsi:
            print(X*i)
            break