Question

What is the smallest number 72 can be multiplied by to make a squared number

Answer 1

Let's express 72 into its prime factors

72 = 2 × 2 × 2 × 3 × 3

Now, so you can see if we multiply 2 with 72, we will get 144, whihc is a perfect square

ans:2

Answer 2

To find the smallest number that 72 can be multiplied by to make a perfect square, we can break down 72 into its prime factors.

The prime factorization of 72 is:

72 = 2^3 * 3^2

To make it a perfect square, we need to make sure that each prime factor has an even exponent. Since 2 has an odd exponent (3), we need to multiply 72 by another 2 to make it a perfect square.

So, the smallest number that 72 can be multiplied by to make a perfect square is 2.

Therefore, 72 * 2 = 144, which is a perfect square (12^2).