Question

Find the smallest number by which 3645 must divided to make it a perfect square?

Answer 1

Hey

Here is your answer,

First we have to find the prime factors of 3645

So, 3645 = 3×3×3×3×3×3×5

Here we can see that prime factor 5 does not form a pair

So, 3645 must be divided by 5 to make it a perfect square and the resulting number will be , 3645/5 = 729

Square root of the resulting number is 17.

Hope it helps you!