Which of the following numbers is not the product of a perfect square and a perfect cube?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
9 7 2 = 6 2 × 3 3 , 9 0 0 = 3 0 2 × 1 3 , 9 6 8 = 1 1 2 × 2 3 , 9 6 1 = 3 1 2 × 1 3 .
On the other hand, 9 8 0 = 7 2 × 2 2 × 5 cannot be written as the product of a perfect square and a perfect cube, as none of its divisors other than 1 is a perfect cube and 9 8 0 itself is not a perfect square.