Given number is 55200
The factor tree of 55200 is as follows:
| 55200 | ||||||||||||||
| 2 | 27600 | |||||||||||||
| 2 | 13800 | |||||||||||||
| 2 | 6900 | |||||||||||||
| 2 | 3450 | |||||||||||||
| 2 | 1725 | |||||||||||||
| 3 | 575 | |||||||||||||
| 5 | 115 | |||||||||||||
| 5 | 23 | |||||||||||||
55200 = 2 x 27600
27600 = 2 x 13800
13800 = 2 x 6900
6900 = 2 x 3450
3450 = 2 x 1725
1725 = 3 x 575
575 = 5 x 115
115 = 5 x 23
If we write into multiples it would be 55200 x 2
On splitting 27600 further and writing it as multiples of numbers it would be 13800 x 2.
On splitting 13800 further and writing it as multiples of numbers it would be 6900 x 2.
On splitting 6900 further and writing it as multiples of numbers it would be 3450 x 2.
On splitting 3450 further and writing it as multiples of numbers it would be 1725 x 2.
On splitting 1725 further and writing it as multiples of numbers it would be 575 x 3.
On splitting 575 further and writing it as multiples of numbers it would be 115 x 5.
On splitting 115 further and writing it as multiples of numbers it would be 23 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 55200. 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 55200. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 23 as it results in 55200 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 55200 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 23 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 5, 5, 23 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 55200 ?
Answer: Prime Factors of 55200 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 23.
2. What are the Prime Factors of 55200 ?
Answer: Prime Factors of 55200 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 23.