Question

The smallest whole number by which 320 should be multiplied so as to get a perfect square number is-----.​

Answer 1

Answer:

First step- LCM of 320

that is, 2×2×2×2×2×2×5

pair these numbers and you will find out that 5 cannot be paired....

So now, 320×5 = 1600 is a perfect square

5 is a smallest number which on multiplying we get 1600 which is a perfect square..

I hope my answer helps you

Answer 2

Given,

The number = 320

To Find,

The smallest whole number by which given number should be multiplied so as to get a perfect square number =?

Solution,

By prime factorization of 320, we get

⇒320 = 2*2*2*2*2*2*5

By pairing them,

⇒320 = (2*2)*(2*2)*(2*2)*5

⇒320 = 2²*2²*2²*5

So, five is the only number that is not paired

Therefore, multiplying 320 with 5

⇒320*5 = 2²*2²*2²*5²

⇒1600

The square root of 1600 is 40. That means 1600 is a perfect square number.

Hence, the smallest whole number by which 320 should be multiplied so as to get a perfect square number is 5.