Given number is 120156
The factor tree of 120156 is as follows:
| 120156 | |||||||||||
| 2 | 60078 | ||||||||||
| 2 | 30039 | ||||||||||
| 3 | 10013 | ||||||||||
| 17 | 589 | ||||||||||
| 19 | 31 | ||||||||||
120156 = 2 x 60078
60078 = 2 x 30039
30039 = 3 x 10013
10013 = 17 x 589
589 = 19 x 31
If we write into multiples it would be 120156 x 2
On splitting 60078 further and writing it as multiples of numbers it would be 30039 x 2.
On splitting 30039 further and writing it as multiples of numbers it would be 10013 x 3.
On splitting 10013 further and writing it as multiples of numbers it would be 589 x 17.
On splitting 589 further and writing it as multiples of numbers it would be 31 x 19.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 120156. 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 120156. Let’s start with 2 x 2 x 3 x 17 x 19 x 31 as it results in 120156 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 120156 now and we can write as 2 x 2 x 3 x 17 x 19 x 31 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 17, 19, 31 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 120156 ?
Answer: Prime Factors of 120156 are 2 x 2 x 3 x 17 x 19 x 31.
2. What are the Prime Factors of 120156 ?
Answer: Prime Factors of 120156 are 2 x 2 x 3 x 17 x 19 x 31.