Question

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

Answer 1

divide the number 2,3 and 5 .

On dividing 2880 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5

In the above factors the prime number 5 is not having a pair.

So 2880 should be divided by 5 to make it a perfect square’

[If we divide 2880 by 5, we get 576 which is a perfect square

(√576)=24

Answer 2

✔️Two factors required for a multiple to be a perfect square:➖

⏹2880=20*144

✔️144 is 12 square. So let 20=

⏹20=4*5.

4 is 2 square.

✔so now we see that ️5 is single left. So it is the smallest number required.

⏹ 2880÷5=576 and

576 is 24 square.

✔️So 5 is the answer for the problem..