1 it's both a perfect square and a perfect cube!

Which of the following numbers is not the product of a perfect square and a perfect cube?

972 961 980 968 900

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.

1 solution

972 = 6 2 × 3 3 , 900 = 3 0 2 × 1 3 , 968 = 1 1 2 × 2 3 , 961 = 3 1 2 × 1 3 972 = 6^{2} \times 3^{3}, 900 = 30^{2} \times 1^{3}, 968 = 11^{2} \times 2^{3}, 961 = 31^{2} \times 1^{3} .

On the other hand, 980 = 7 2 × 2 2 × 5 980 = 7^{2} \times 2^{2} \times 5 cannot be written as the product of a perfect square and a perfect cube, as none of its divisors other than 1 1 is a perfect cube and 980 980 itself is not a perfect square.

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...