MathsCubes and Cube RootCube RootsFINDING CUBE ROOT – Prime Factorisation Method

FINDING CUBE ROOT – Prime Factorisation Method

Table of Contents

  • Finding the Cube Root Using the Prime Factorisation Method
  • What’s Next?

We have learned how to find the cube root of a number in its exponential form in the previous segment. But all the numbers, whose cube root needs to be calculated may not be in exponential form. Additionally, these numbers may be of large value too! We will use the Prime factorisation method to find the cube roots of such numbers.

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    How to find the cube root number using the prime factorisation method?

    Let us take the following example to understand the prime factorisation method. We need to find the value of 3 216.

    To solve this by the prime factorisation method, we will use the following steps:

    1. Draw a horizontal and vertical line and write 216 in the right column which will look like

    216

    1. Find the smallest prime number which is a factor of 216. It is 2. Write it in the left column as follows:

    2

    216

    1. Divide 216 by 2 and write the answer (i.e. 108) as shown in the right column.

    2

    216

    108

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