Question

What is the smallest n0 by which 2880 must be divided in order to make it a perfect square ?

Answer 1

2880 = 2×2×2×2×2×2×3×3×5
Therefore it must be divided
by 5.
The no formed is 576 which is the square of 24.

Answer 2

$\huge {\bold {Your~Solutions-}}$

Prime Factor of 2880
= 2×2×2 ×2 ×2 ×2 ×3 ×3 ×5

And when we divide by 5 then we get the perfect square.

Now,
2×2×2 ×2 ×2 ×2 ×3 ×3 = 576

And it the perfect square of 24