Given number is 12120
The factor tree of 12120 is as follows:
| 12120 | |||||||||||
| 2 | 6060 | ||||||||||
| 2 | 3030 | ||||||||||
| 2 | 1515 | ||||||||||
| 3 | 505 | ||||||||||
| 5 | 101 | ||||||||||
12120 = 2 x 6060
6060 = 2 x 3030
3030 = 2 x 1515
1515 = 3 x 505
505 = 5 x 101
If we write into multiples it would be 12120 x 2
On splitting 6060 further and writing it as multiples of numbers it would be 3030 x 2.
On splitting 3030 further and writing it as multiples of numbers it would be 1515 x 2.
On splitting 1515 further and writing it as multiples of numbers it would be 505 x 3.
On splitting 505 further and writing it as multiples of numbers it would be 101 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 12120. 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 12120. Let’s start with 2 x 2 x 2 x 3 x 5 x 101 as it results in 12120 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 12120 now and we can write as 2 x 2 x 2 x 3 x 5 x 101 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 5, 101 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 12120 ?
Answer: Prime Factors of 12120 are 2 x 2 x 2 x 3 x 5 x 101.
2. What are the Prime Factors of 12120 ?
Answer: Prime Factors of 12120 are 2 x 2 x 2 x 3 x 5 x 101.