def get(x):
    r = []
    for p in ps:
        c = 0
        while x%p==0:
            x //= p
            c += 1
        r.append(c)
    return r

ps = [2,3,5,7,11,13,17,19,23,29,31]
t,*a = map(int,open(0).read().split())
plst =[[0]*11] + [get(i) for i in range(1,32)]
for x in a:
    lst = get(x)
    yx = 1
    for i in lst: yx *= i+1
    for r in range(2,32):
        yr = 1
        for i,j in zip(lst,plst[r]):
    	    yr *= i+j+1
        if yr == 2*yx:
            print(x*r)
            break