Question

what is the smallest number by which 13068 should be divided so that the quotient is a perfect square

Answer 1

Answer:

Step-by-step explanation:

First find out the prime factors of 13068.

You will get 2×2×3×3×3×11×11

Then sort out these numbers into a group of two each. You get one 3 extra.

(2×2)×(3×3)×3×(11×11).

Now divide 13068 by 3 since it is the only number which is not grouped.

On dividing you will get the quotient as 4356. You can verify whether 4356 is a perfect square or not. You will get 66 as it's root.

So 3 is the smallest number by which 13068 should be divided so that it's quotient is a perfect square.