Question

Find the least number by which 180 should be multiplied so that the product is a perfect square number​

Answer 1

by prime factorisation method.

2 180

2 90

3 45

3 15

5 5

1

as 5 is left unpaired so 5 is the smallest no...which have to be multiplied by 180 so that product is perfect squ no.

Answer 2

Answer:

5

Step-by-step explanation:

180=2*2*3*3*5

180=2²×3²×5

Multiply by 5 both sides

180*5=2²×3²×5×5

=2²×3²×5²

=(2×3×5)²=30²

This becomes square of 30

hence 180 should be multiplied by 5 to get perfect square