Question

Find the smallest number by which 3645 must be divided so that it becomes a
perfect square.​

Answer 1

Answer:

Hi,

To find the smallest no. by which 3645 must be divided to become a perfect sq. we have to find prime factors of the no.

3645=3×3×3×3×3×3×5

so,

their is 3pair of 3.but no pair of 5.

so we have to divide the no. by 5 to have a perfect square.

if we will divide it by 5 we will obtain the sq.of 27(729).