Given number is 8100
The factor tree of 8100 is as follows:
| 8100 | |||||||||||||
| 2 | 4050 | ||||||||||||
| 2 | 2025 | ||||||||||||
| 3 | 675 | ||||||||||||
| 3 | 225 | ||||||||||||
| 3 | 75 | ||||||||||||
| 3 | 25 | ||||||||||||
| 5 | 5 | ||||||||||||
8100 = 2 x 4050
4050 = 2 x 2025
2025 = 3 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 8100 x 2
On splitting 4050 further and writing it as multiples of numbers it would be 2025 x 2.
On splitting 2025 further and writing it as multiples of numbers it would be 675 x 3.
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.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 8100. 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 8100. Let’s start with 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 as it results in 8100 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 8100 now and we can write as 2 x 2 x 3 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, 3, 3, 3, 3, 5, 5 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 8100 ?
Answer: Prime Factors of 8100 are 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5.
2. What are the Prime Factors of 8100 ?
Answer: Prime Factors of 8100 are 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5.