Using prime factorisation, find the cube root of 2197.

Solution:

Given, the number is 2197.

We have to determine the cube root of 2197 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,

So, 2197 = 13 × 13 × 13

We observe that 13 occur in pairs.

Cube root is an inverse operation of the cube.

So, ∛2197 = ∛(13³)

= 13

Therefore, the cube root of 2197 is 13.

✦ Try This: Using prime factorisation, find the cube root of 614125

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 97 (b)

Using prime factorisation, find the cube root of 2197

Summary:

Using prime factorisation, the cube root of 2197 is 13.

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