Given number is 22500
The factor tree of 22500 is as follows:
| 22500 | |||||||||||||
| 2 | 11250 | ||||||||||||
| 2 | 5625 | ||||||||||||
| 3 | 1875 | ||||||||||||
| 3 | 625 | ||||||||||||
| 5 | 125 | ||||||||||||
| 5 | 25 | ||||||||||||
| 5 | 5 | ||||||||||||
22500 = 2 x 11250
11250 = 2 x 5625
5625 = 3 x 1875
1875 = 3 x 625
625 = 5 x 125
125 = 5 x 25
25 = 5 x 5
If we write into multiples it would be 22500 x 2
On splitting 11250 further and writing it as multiples of numbers it would be 5625 x 2.
On splitting 5625 further and writing it as multiples of numbers it would be 1875 x 3.
On splitting 1875 further and writing it as multiples of numbers it would be 625 x 3.
On splitting 625 further and writing it as multiples of numbers it would be 125 x 5.
On splitting 125 further and writing it as multiples of numbers it would be 25 x 5.
On splitting 25 further and writing it as multiples of numbers it would be 5 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 22500. 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 22500. Let’s start with 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 as it results in 22500 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 22500 now and we can write as 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 5, 5, 5, 5 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 22500 ?
Answer: Prime Factors of 22500 are 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5.
2. What are the Prime Factors of 22500 ?
Answer: Prime Factors of 22500 are 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5.