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Factor Tree of 216

Created By : Bhagya
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Factor Tree of:

How to find the Factor Tree of 216

Given number is 216
The factor tree of 216 is as follows:


216
2108
254
227
39
33
Factors of 216

216 = 2 x 108

108 = 2 x 54

54 = 2 x 27

27 = 3 x 9

9 = 3 x 3

If we write into multiples it would be 216 x 2

On splitting 108 further and writing it as multiples of numbers it would be 54 x 2.

On splitting 54 further and writing it as multiples of numbers it would be 27 x 2.

On splitting 27 further and writing it as multiples of numbers it would be 9 x 3.

On splitting 9 further and writing it as multiples of numbers it would be 3 x 3.

Factor Tree Calculations

Ways to Find Factors of 216

Here we are providing different methods to find the factors of the number 216. They are splitting numbers and prime factors.

Splitting Numbers

We can divide the number into either of its two factors. In other words, we are looking for the numbers that when multiplied together eqaul 216. Let’s start with 2 x 2 x 2 x 3 x 3 x 3 as it results in 216 on multiplying. We will now find the factors or ancestors of split factors, just like in any family tree.

Prime Factors

Let’s take a look at 216 now and we can write as 2 x 2 x 2 x 3 x 3 x 3 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 3 obtained here are also prime numbers and we will end up these branches.

FAQ on 216 Factor Tree

1. What is factor tree for 216 ?

Answer: Prime Factors of 216 are 2 x 2 x 2 x 3 x 3 x 3.

2. What are the Prime Factors of 216 ?

Answer: Prime Factors of 216 are 2 x 2 x 2 x 3 x 3 x 3.