Question

here's a fun question I got a while ago:
What is the smallest number "n" such that:
n /2 is a perfect square
n/3 is a perfect cube
and n/5 is a perfect fifth power?

Answer 1

4/2=2
9/3=3
25/5=5

Answer 2

i think so

Answer 3

72

Answer 4

nah

Answer 5

a multiple of it but

Answer 6

a multiple that is diviisable by 5 I think

Answer 7

but im going to sleep , tired

Answer 8

are pagal ho gya hai kya

Answer 9

O.K. Joe, don't keep us in suspense here too long!

Answer 10

I found it

Answer 11

2^15*3^10*5^36

Answer 12

28156757354736328125000000000000000

Answer 13

Sadly, that's the smallest n

Answer 14

The smallest number is 0.

Answer 15

Bah, i should have said non-zero n, good job abtrehearn for catching that mistake
Heromiles is the closest, he has the right idea, but the exponent for 5 can be smaller and still work. Here is a pdf of my solution

Answer 16

Thanks joemath(pi) now we can all get back to work lol.