Question

By what smallest number should "18252" be multiplied so that product becomes perfect cube

Answer 1

Answer:

26

Hope this helps.

Step-by-step explanation:

The prime factorization of 18252 is

18252 = 2² × 3³ × 13²

For a number to be a perfect cube, each of its prime factors has to have a power that is a multiple of 3.  The prime factors that we need to "fix" then are 2 and 13, whose powers are 2.

So we need to multiply by 2 × 13 = 26.

The resulting perfect cube is 18252 × 26 = 2³ × 3³ × 13³ = 78³.

Answer 2

Step-by-step explanation:

18252=2×2×2×13×13×13 ,then multiply 2 by 13 the answer is 26