def main():
    primes=[]
    for i in range(2,500):
        ok=True
        for j in range(2,i):
            ok&=bool(i%j)
        if ok:
            primes.append(i)

    INF=float('inf')
    for _ in range(int(input())):
        x=int(input())
        ans=INF
        for d in primes:
            if x%d==0:
                tmp1=x
                tmp2=1
                while tmp1%d==0:
                    tmp1//=d
                    tmp2*=d*d
                ans=min(ans,tmp1*tmp2*d)
            else:
                ans=min(ans,x*d)
        print(ans)
main()