Question

Find the least no. by which 180 should be multiplied , so that the product is a perfect square no.​

Answer 1

By prime factorisation

2 180

2 90

3 45

3 15

5 5

1

5 is left unpaired

So 5 is the smallest number

180×5=900

Answer 2

180=(2^2)*(3^2)*(5)

Here 5 is not in pair .

there fore we should multiply 5 in 180 in order to get a perfect square number.

The new number is 180*5=900