Question

Find the smallest number that would be divided to 2904 to get a perfect square

Answer 1

Factors of 2904

    2 | 2904
    2 | 1452
    2 | 726
    3 | 363
   11| 131 
   11| 11
       | 1
2904 = 2 x 2 x 2 x 3 x 11 x 11
So, we should divide it by 2 x 3  or 6 to make it as perfect square.

Answer 2

First we do prime factorisation of number 2904
The Prime Factorization is:
2 x 2 x 2 x 3 x 11 x 11

In Exponential Form:
2^3 x 3 x 11^2

here since we need square thus we need to form pair of two

we find that 2 and 3 don't form a pair thus if we divide the number by these we get a pair which means a perfect square

2904/(2)(3)

THUS THE REQUIRED NUMBER IS 6