Question

find the smallest number by which each of the following of 180 should be divided so that the result is a perfect square.​

Answer 1

Prime factorise 180

180 = 2×2×3×3×5×1

180 = 2^ 2 × 3^2 × 5

5 remains unpaired so 180 must be divided by 5

lets verify 180÷5

= 36 which is a perfect square.

Answer 2

Prime factorise 180

180 = 2×2×3×3×5×1

180 = 2^ 2 × 3^2 × 5

5 remains unpaired so 180 must be divided by 5

lets verify 180÷5 = 36 which is a perfect square.