Question

find the smallest number by which 4800 must be multiplied so that the product is a prefect cube


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Answer 1

Step-by-step explanation:

Do factorizaton

I will not show all that factorizaton

now group all same number in group of 3

if any number left then multiply it by itself until grp of 3

DONE

THE ANSWER WILL BE THE NUMBERS MULTIPLIED

Answer 2

Answer:

the smallest number by which 4800 multiplied to get a perfect cube is 45.

Step-by-step explanation:

Given :

We are given an integer 4800

To Find :

The smallest number by which 4800 multiplied to get a perfect cube.

Solution :

Since we have to find the smallest number by which 4800 multiplied to get a perfect cube.

First we have to factorize 4800

the factorization of 4800 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5

If we try to make pairs of 3 we get two unpaired elements 3 and 5

to make pairs of 3 we have to multiply by 3 x 3 x 5

So the smallest number by which 4800 multiplied to get a perfect cube is 45.

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