Factor Tree of 43200
How to find the Factor Tree of 43200
Given number is 43200
The factor tree of 43200 is as follows:
| 43200 | ||||||||||||||||
| 2 | 21600 | |||||||||||||||
| 2 | 10800 | |||||||||||||||
| 2 | 5400 | |||||||||||||||
| 2 | 2700 | |||||||||||||||
| 2 | 1350 | |||||||||||||||
| 2 | 675 | |||||||||||||||
| 3 | 225 | |||||||||||||||
| 3 | 75 | |||||||||||||||
| 3 | 25 | |||||||||||||||
| 5 | 5 | |||||||||||||||
43200 = 2 x 21600
21600 = 2 x 10800
10800 = 2 x 5400
5400 = 2 x 2700
2700 = 2 x 1350
1350 = 2 x 675
675 = 3 x 225
225 = 3 x 75
75 = 3 x 25
25 = 5 x 5
If we write into multiples it would be 43200 x 2
On splitting 21600 further and writing it as multiples of numbers it would be 10800 x 2.
On splitting 10800 further and writing it as multiples of numbers it would be 5400 x 2.
On splitting 5400 further and writing it as multiples of numbers it would be 2700 x 2.
On splitting 2700 further and writing it as multiples of numbers it would be 1350 x 2.
On splitting 1350 further and writing it as multiples of numbers it would be 675 x 2.
On splitting 675 further and writing it as multiples of numbers it would be 225 x 3.
On splitting 225 further and writing it as multiples of numbers it would be 75 x 3.
On splitting 75 further and writing it as multiples of numbers it would be 25 x 3.
On splitting 25 further and writing it as multiples of numbers it would be 5 x 5.
Factor Tree Calculations
Here are examples of Factor tree calculations.
Ways to Find Factors of 43200
Here we are providing different methods to find the factors of the number 43200. 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 43200. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 as it results in 43200 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 43200 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 3, 3, 5, 5 obtained here are also prime numbers and we will end up these branches.
FAQ on 43200 Factor Tree
1. What is factor tree for 43200 ?
Answer: Prime Factors of 43200 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5.
2. What are the Prime Factors of 43200 ?
Answer: Prime Factors of 43200 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5.