Question

Find cube root of 12167 using prime factorisation
method

Answer 1

Answer:

Answer. at first see value of number is above than cube of which ,10,20,30,40....... we can easily find cube of any of the above number so . Cuberoot of 12167 is 23

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Answer 2

Step-by-step explanation:

Given : 12167

To find: Find the cube root of 12167 by prime factors

Solution:

Prime Factorization

23 | 12167

23 | 529

23 | 23

| 1

So, 12167 = 23\times 23\times 2312167=23×23×23

\sqrt[3]{12167} = \sqrt[3]{23\times 23\times 23}

3

12167

=

3

23×23×23

\sqrt[3]{12167} = \sqrt[3]{23^{23}

\sqrt[3]{12167} = 23

3

12167

=23

Hence the cube root of 12167 is 23