Question

What is the smallest number by which 2880must be divided to make it into a perfect square?

Answer 1

Prime factorisation of 2880 gives

2880 = 2^6 * 3^2 * 5

There is an even number of each factor that is, six 2's, two 3's, except for 5.

Thus, you must divide it with 5.

And when you divide 2880 by 5, it gives 576 which is 24^2.