Question

Find the smallest number that should be multiplied by 6336 to make it a perfect square​

Answer 1

6336=2*2*2*2*2*2*3*3*11=$2^{6}$*$3^{2}$*11

To make it a perfect square, The prime factors must be in pairs.

The lowest number to be multiplied is, thus, 11.

Answer 2

Answer:

11

Step-by-step explanation:

The prime factorization of 6336 is:

2×2×2×2×2×2×3×3×11

i.e.

$2 {}^{6} \times 3 {}^{2} \times 11$

11 does not have a pair

Thus, the smallest number that should be multiplied with 6336 to make it a perfect square is 11.

Verification:-

6336×11= 69696

which is a square of 264