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Using prime factorisation, find the following is a perfect cube : 128

Solution:

Given, the number is 128.

We have to determine if 128 is a perfect cube using prime factorisation.

Prime factorization is a way of expressing a number as a product of its prime factors.

A prime number is a number that has exactly two factors, 1 and the number itself.

Using prime factorisation,

Using prime factorisation, find the following is a perfect cube : 128

So, 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2

We observe that the prime factor 2 occurs without pairs.

Therefore, 128 is not a perfect cube.

✦ Try This: Using prime factorisation, find the following is a perfect cube : 216

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 92 (a)

Summary:

By checking 128 using prime factorisation, it is clear that 128 is not a perfect cube.

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