Question

by which smallest number should 5324 be multiplied so that the product is a perfect cube?

Answer 1

Answer:

2

Step by Step Explanation:

The given number is 5324. Let us find the prime factorization of this number.

5324 =2 × 2 × 11 × 11 × 11

We can rewrite this as

5324 =2^2 × 11^3

Now, in perfect cube, we need the numbers which occurs the trice. we can take the numbers out of the cubic root.

In the above factorization, 11 occurs thrice and 2 occurs twice. Hence, in order to make the perfect cube we need an extra 2 so that it becomes 2^3.

Hence, we have to multiply the given number by 2 to make a perfect cube.