Factor Tree of 72
How to find the Factor Tree of 72
Given number is 72
The factor tree of 72 is as follows:
| 72 | ||||||||||
| 2 | 36 | |||||||||
| 2 | 18 | |||||||||
| 2 | 9 | |||||||||
| 3 | 3 | |||||||||
72 = 2 x 36
36 = 2 x 18
18 = 2 x 9
9 = 3 x 3
If we write into multiples it would be 72 x 2
On splitting 36 further and writing it as multiples of numbers it would be 18 x 2.
On splitting 18 further and writing it as multiples of numbers it would be 9 x 2.
On splitting 9 further and writing it as multiples of numbers it would be 3 x 3.
Factor Tree Calculations
Here are examples of Factor tree calculations.
Ways to Find Factors of 72
Here we are providing different methods to find the factors of the number 72. 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 72. Let’s start with 2 x 2 x 2 x 3 x 3 as it results in 72 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 72 now and we can write as 2 x 2 x 2 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 obtained here are also prime numbers and we will end up these branches.
FAQ on 72 Factor Tree
1. What is factor tree for 72 ?
Answer: Prime Factors of 72 are 2 x 2 x 2 x 3 x 3.
2. What are the Prime Factors of 72 ?
Answer: Prime Factors of 72 are 2 x 2 x 2 x 3 x 3.