Given number is 23200
The factor tree of 23200 is as follows:
| 23200 | |||||||||||||
| 2 | 11600 | ||||||||||||
| 2 | 5800 | ||||||||||||
| 2 | 2900 | ||||||||||||
| 2 | 1450 | ||||||||||||
| 2 | 725 | ||||||||||||
| 5 | 145 | ||||||||||||
| 5 | 29 | ||||||||||||
23200 = 2 x 11600
11600 = 2 x 5800
5800 = 2 x 2900
2900 = 2 x 1450
1450 = 2 x 725
725 = 5 x 145
145 = 5 x 29
If we write into multiples it would be 23200 x 2
On splitting 11600 further and writing it as multiples of numbers it would be 5800 x 2.
On splitting 5800 further and writing it as multiples of numbers it would be 2900 x 2.
On splitting 2900 further and writing it as multiples of numbers it would be 1450 x 2.
On splitting 1450 further and writing it as multiples of numbers it would be 725 x 2.
On splitting 725 further and writing it as multiples of numbers it would be 145 x 5.
On splitting 145 further and writing it as multiples of numbers it would be 29 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 23200. 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 23200. Let’s start with 2 x 2 x 2 x 2 x 2 x 5 x 5 x 29 as it results in 23200 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 23200 now and we can write as 2 x 2 x 2 x 2 x 2 x 5 x 5 x 29 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 5, 5, 29 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 23200 ?
Answer: Prime Factors of 23200 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 29.
2. What are the Prime Factors of 23200 ?
Answer: Prime Factors of 23200 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 29.