Given number is 8172
The factor tree of 8172 is as follows:
| 8172 | ||||||||||
| 2 | 4086 | |||||||||
| 2 | 2043 | |||||||||
| 3 | 681 | |||||||||
| 3 | 227 | |||||||||
8172 = 2 x 4086
4086 = 2 x 2043
2043 = 3 x 681
681 = 3 x 227
If we write into multiples it would be 8172 x 2
On splitting 4086 further and writing it as multiples of numbers it would be 2043 x 2.
On splitting 2043 further and writing it as multiples of numbers it would be 681 x 3.
On splitting 681 further and writing it as multiples of numbers it would be 227 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 8172. 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 8172. Let’s start with 2 x 2 x 3 x 3 x 227 as it results in 8172 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 8172 now and we can write as 2 x 2 x 3 x 3 x 227 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 227 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 8172 ?
Answer: Prime Factors of 8172 are 2 x 2 x 3 x 3 x 227.
2. What are the Prime Factors of 8172 ?
Answer: Prime Factors of 8172 are 2 x 2 x 3 x 3 x 227.