Factor Tree of 138024
How to find the Factor Tree of 138024
Given number is 138024
The factor tree of 138024 is as follows:
| 138024 | ||||||||||||||
| 2 | 69012 | |||||||||||||
| 2 | 34506 | |||||||||||||
| 2 | 17253 | |||||||||||||
| 3 | 5751 | |||||||||||||
| 3 | 1917 | |||||||||||||
| 3 | 639 | |||||||||||||
| 3 | 213 | |||||||||||||
| 3 | 71 | |||||||||||||
138024 = 2 x 69012
69012 = 2 x 34506
34506 = 2 x 17253
17253 = 3 x 5751
5751 = 3 x 1917
1917 = 3 x 639
639 = 3 x 213
213 = 3 x 71
If we write into multiples it would be 138024 x 2
On splitting 69012 further and writing it as multiples of numbers it would be 34506 x 2.
On splitting 34506 further and writing it as multiples of numbers it would be 17253 x 2.
On splitting 17253 further and writing it as multiples of numbers it would be 5751 x 3.
On splitting 5751 further and writing it as multiples of numbers it would be 1917 x 3.
On splitting 1917 further and writing it as multiples of numbers it would be 639 x 3.
On splitting 639 further and writing it as multiples of numbers it would be 213 x 3.
On splitting 213 further and writing it as multiples of numbers it would be 71 x 3.
Factor Tree Calculations
Here are examples of Factor tree calculations.
Ways to Find Factors of 138024
Here we are providing different methods to find the factors of the number 138024. 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 138024. Let’s start with 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 71 as it results in 138024 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 138024 now and we can write as 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 71 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 3, 3, 3, 71 obtained here are also prime numbers and we will end up these branches.
FAQ on 138024 Factor Tree
1. What is factor tree for 138024 ?
Answer: Prime Factors of 138024 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 71.
2. What are the Prime Factors of 138024 ?
Answer: Prime Factors of 138024 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 71.