Check whether 1728 is a perfect cube by using prime factorisation.

Solution:

Given, the number is 1728.

We have to check if 1728 is a perfect cube or not by 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.

Prime factorisation of 1728 is

So, 1728 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3

= 2³ × 2³ × 3³

The numbers 2 and 3 occur in paris.

Therefore, 1728 is a perfect cube.

✦ Try This: Check whether 1000 is a perfect cube by using prime factorisation.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Sample Problem 22

Check whether 1728 is a perfect cube by using prime factorisation

Summary:

By checking 1728 using prime factorisation, it is clear that 1728 is a perfect cube

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