Given number is 120456
The factor tree of 120456 is as follows:
| 120456 | ||||||||||||
| 2 | 60228 | |||||||||||
| 2 | 30114 | |||||||||||
| 2 | 15057 | |||||||||||
| 3 | 5019 | |||||||||||
| 3 | 1673 | |||||||||||
| 7 | 239 | |||||||||||
120456 = 2 x 60228
60228 = 2 x 30114
30114 = 2 x 15057
15057 = 3 x 5019
5019 = 3 x 1673
1673 = 7 x 239
If we write into multiples it would be 120456 x 2
On splitting 60228 further and writing it as multiples of numbers it would be 30114 x 2.
On splitting 30114 further and writing it as multiples of numbers it would be 15057 x 2.
On splitting 15057 further and writing it as multiples of numbers it would be 5019 x 3.
On splitting 5019 further and writing it as multiples of numbers it would be 1673 x 3.
On splitting 1673 further and writing it as multiples of numbers it would be 239 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 120456. 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 120456. Let’s start with 2 x 2 x 2 x 3 x 3 x 7 x 239 as it results in 120456 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 120456 now and we can write as 2 x 2 x 2 x 3 x 3 x 7 x 239 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 7, 239 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 120456 ?
Answer: Prime Factors of 120456 are 2 x 2 x 2 x 3 x 3 x 7 x 239.
2. What are the Prime Factors of 120456 ?
Answer: Prime Factors of 120456 are 2 x 2 x 2 x 3 x 3 x 7 x 239.