Let’s do this by examples

 

Find cube root of 216?

Let’s do prime factorization of 216

31.jpg

Thus,

  216  = 2 × 2 × 2 × 3 × 3 × 3

 

Now,

We make groups of 3

Finding cube root by prime factorisation method - Part 2

Therefore,

Cube root of 216 = 2 × 3

            = 6

 

Find cube root of 729?

Doing Prime factorization of 729

Finding cube root by prime factorisation method - Part 3

We see that

Finding cube root by prime factorisation method - Part 4

Therefore,

Cube root of 729 = 3 × 3

     = 9

 

Find cube root of 3375?

Doing Prime factorization of 3375

Finding cube root by prime factorisation method - Part 5

We see that

Finding cube root by prime factorisation method - Part 6

Therefore,

Cube root of 3375 = 3 × 5

       = 15

 

Find cube root of 6859?

Doing Prime factorization of 6859

Finding cube root by prime factorisation method - Part 7

We see that

Finding cube root by prime factorisation method - Part 8

Therefore,

Cube root of 6859 = 19

 

Find cube root of 10648?

Doing Prime factorization of 10648

Finding cube root by prime factorisation method - Part 9

We see that

Finding cube root by prime factorisation method - Part 10

Therefore,

Cube root of 10648 = 2 × 11

                = 22

 

Find cube root of 74088?

Doing Prime factorization of 74088

Finding cube root by prime factorisation method - Part 11

We see that

Finding cube root by prime factorisation method - Part 12

Therefore,

Cube root of 74088 = 2 × 3 × 7

                = 42

 

  1. Chapter 7 Class 8 Cubes and Cube Roots
  2. Concept wise

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.