Given number is 126225
The factor tree of 126225 is as follows:
| 126225 | ||||||||||||
| 3 | 42075 | |||||||||||
| 3 | 14025 | |||||||||||
| 3 | 4675 | |||||||||||
| 5 | 935 | |||||||||||
| 5 | 187 | |||||||||||
| 11 | 17 | |||||||||||
126225 = 3 x 42075
42075 = 3 x 14025
14025 = 3 x 4675
4675 = 5 x 935
935 = 5 x 187
187 = 11 x 17
If we write into multiples it would be 126225 x 3
On splitting 42075 further and writing it as multiples of numbers it would be 14025 x 3.
On splitting 14025 further and writing it as multiples of numbers it would be 4675 x 3.
On splitting 4675 further and writing it as multiples of numbers it would be 935 x 5.
On splitting 935 further and writing it as multiples of numbers it would be 187 x 5.
On splitting 187 further and writing it as multiples of numbers it would be 17 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 126225. 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 126225. Let’s start with 3 x 3 x 3 x 5 x 5 x 11 x 17 as it results in 126225 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 126225 now and we can write as 3 x 3 x 3 x 5 x 5 x 11 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 3, 3, 5, 5, 11, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 126225 ?
Answer: Prime Factors of 126225 are 3 x 3 x 3 x 5 x 5 x 11 x 17.
2. What are the Prime Factors of 126225 ?
Answer: Prime Factors of 126225 are 3 x 3 x 3 x 5 x 5 x 11 x 17.