Finding cube root by prime factorisation method

Let’s do this by examples

### Find cube root of 216?

Let’s do prime factorization of 216

Thus,

216  = 2 × 2 × 2 × 3 × 3 × 3

Now,

We make groups of 3

Therefore,

Cube root of 216 = 2 × 3

= 6

### Find cube root of 729?

Doing Prime factorization of 729

We see that

Therefore,

Cube root of 729 = 3 × 3

= 9

### Find cube root of 3375?

Doing Prime factorization of 3375

We see that

Therefore,

Cube root of 3375 = 3 × 5

= 15

### Find cube root of 6859?

Doing Prime factorization of 6859

We see that

Therefore,

Cube root of 6859 = 19

### Find cube root of 10648?

Doing Prime factorization of 10648

We see that

Therefore,

Cube root of 10648 = 2 × 11

= 22

### Find cube root of 74088?

Doing Prime factorization of 74088

We see that

Therefore,

Cube root of 74088 = 2 × 3 × 7

= 42

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#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.