Given number is 6120
The factor tree of 6120 is as follows:
| 6120 | ||||||||||||
| 2 | 3060 | |||||||||||
| 2 | 1530 | |||||||||||
| 2 | 765 | |||||||||||
| 3 | 255 | |||||||||||
| 3 | 85 | |||||||||||
| 5 | 17 | |||||||||||
6120 = 2 x 3060
3060 = 2 x 1530
1530 = 2 x 765
765 = 3 x 255
255 = 3 x 85
85 = 5 x 17
If we write into multiples it would be 6120 x 2
On splitting 3060 further and writing it as multiples of numbers it would be 1530 x 2.
On splitting 1530 further and writing it as multiples of numbers it would be 765 x 2.
On splitting 765 further and writing it as multiples of numbers it would be 255 x 3.
On splitting 255 further and writing it as multiples of numbers it would be 85 x 3.
On splitting 85 further and writing it as multiples of numbers it would be 17 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 6120. 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 6120. Let’s start with 2 x 2 x 2 x 3 x 3 x 5 x 17 as it results in 6120 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 6120 now and we can write as 2 x 2 x 2 x 3 x 3 x 5 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 5, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 6120 ?
Answer: Prime Factors of 6120 are 2 x 2 x 2 x 3 x 3 x 5 x 17.
2. What are the Prime Factors of 6120 ?
Answer: Prime Factors of 6120 are 2 x 2 x 2 x 3 x 3 x 5 x 17.