Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Simplification

Question:

Which is the smallest natural number by which 243 must be multiplied to make the product a perfect cube?

Options:

3

9

8

7

Correct Answer:

3

Explanation:
For a number to be a perfect cube, its powers of prime factors must have multiples of 3.
After prime factorization, we get: 243 = 3 × 3 × 3 × 3 × 3 = 243 i.e. 35
In order to make this number a perfect cube, we will multiply 3 once so that the power becomes 3i.e. power with a multiple of 3.