Question

Find the smallest numbers by which the following numbers must be divided to get a perfect square number (a) 71,407 (b) 24,300​

Answer 1

Answer:

Prime factors of

• 71407= 7× 101 ×101

Here 7 is not paired.

Therefore 71,407 must be divided by 7 to obtain a perfect square.

Prime factors of

• 24300= 2× 2×3× 3× 3× 3× 3× 5× 5

Here 3 is not paired.

Therefore 24300 must be divided by 3 to obtain a perfect square.