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Factor Tree of 72072

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


Factor Tree of:

How to find the Factor Tree of 72072

Given number is 72072
The factor tree of 72072 is as follows:


72072
236036
218018
29009
33003
31001
7143
1113

72072 = 2 x 36036

36036 = 2 x 18018

18018 = 2 x 9009

9009 = 3 x 3003

3003 = 3 x 1001

1001 = 7 x 143

143 = 11 x 13

If we write into multiples it would be 72072 x 2

On splitting 36036 further and writing it as multiples of numbers it would be 18018 x 2.

On splitting 18018 further and writing it as multiples of numbers it would be 9009 x 2.

On splitting 9009 further and writing it as multiples of numbers it would be 3003 x 3.

On splitting 3003 further and writing it as multiples of numbers it would be 1001 x 3.

On splitting 1001 further and writing it as multiples of numbers it would be 143 x 7.

On splitting 143 further and writing it as multiples of numbers it would be 13 x 11.

Factor Tree Calculations

Ways to Find Factors of 72072

Here we are providing different methods to find the factors of the number 72072. 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 72072. Let’s start with 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 as it results in 72072 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 72072 now and we can write as 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 7, 11, 13 obtained here are also prime numbers and we will end up these branches.

FAQ on 72072 Factor Tree

1. What is factor tree for 72072 ?

Answer: Prime Factors of 72072 are 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13.

2. What are the Prime Factors of 72072 ?

Answer: Prime Factors of 72072 are 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13.