Question

Find the smallest number by which 12748 be mutliplied so that the product is a perfect square?

Answer 1

12748 = `bar(2xx2) xx 3187`

On grouping the prime factors of 12748 as shown; one factor i.e. 3187 is left which cannot be paired with equal factor.

2	12748
2	6374
	3187

 

 

 

The given number should be multiplied by 3187.