Given number is 102120
The factor tree of 102120 is as follows:
| 102120 | ||||||||||||
| 2 | 51060 | |||||||||||
| 2 | 25530 | |||||||||||
| 2 | 12765 | |||||||||||
| 3 | 4255 | |||||||||||
| 5 | 851 | |||||||||||
| 23 | 37 | |||||||||||
102120 = 2 x 51060
51060 = 2 x 25530
25530 = 2 x 12765
12765 = 3 x 4255
4255 = 5 x 851
851 = 23 x 37
If we write into multiples it would be 102120 x 2
On splitting 51060 further and writing it as multiples of numbers it would be 25530 x 2.
On splitting 25530 further and writing it as multiples of numbers it would be 12765 x 2.
On splitting 12765 further and writing it as multiples of numbers it would be 4255 x 3.
On splitting 4255 further and writing it as multiples of numbers it would be 851 x 5.
On splitting 851 further and writing it as multiples of numbers it would be 37 x 23.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 102120. 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 102120. Let’s start with 2 x 2 x 2 x 3 x 5 x 23 x 37 as it results in 102120 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 102120 now and we can write as 2 x 2 x 2 x 3 x 5 x 23 x 37 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 5, 23, 37 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 102120 ?
Answer: Prime Factors of 102120 are 2 x 2 x 2 x 3 x 5 x 23 x 37.
2. What are the Prime Factors of 102120 ?
Answer: Prime Factors of 102120 are 2 x 2 x 2 x 3 x 5 x 23 x 37.