Question

Q.20) Is 3072 a perfect cube ? If not then by which smallest number should be multiplied so that the

quotient is a perfect cube?​

Answer 1

Firstly, factors of 3072 are 2×2×2×2×2×2×2×2×2×2×3

therefore, there will be three pairs of 2

Step-by-step explanation:

so, we have to multiply 2 times and 3 two times

so, the correct answer is that 3072 is not the perfect cube we should multiply 2 two more times and 3 two more times to make it perfect cube.

अरे भैया एक तो लाइक दे दो

Answer 2

Answer:

The smallest number that should be multiplied so as to get a perfect cube is 36.

Step-by-step explanation:

Lets prime factorise the number 3072.

Then we would get

3072 = 2×2×2×2×2×2×2×2×2×2×3

or

3072 = 2³×2³×2³×2×3

So, to make it a perfect cube, we would require to multiply 3072 by 2² and 3², So that

3072×2²×3² = 2³×2³×2³×2³×3³

Such that the the number will be a perfect cube.

So, 3072 × 2² × 3² = 3072 × 36.

So, the smallest number that should be multiplied so as to get a perfect cube is 36.