Given number is 120120
The factor tree of 120120 is as follows:
| 120120 | |||||||||||||
| 2 | 60060 | ||||||||||||
| 2 | 30030 | ||||||||||||
| 2 | 15015 | ||||||||||||
| 3 | 5005 | ||||||||||||
| 5 | 1001 | ||||||||||||
| 7 | 143 | ||||||||||||
| 11 | 13 | ||||||||||||
120120 = 2 x 60060
60060 = 2 x 30030
30030 = 2 x 15015
15015 = 3 x 5005
5005 = 5 x 1001
1001 = 7 x 143
143 = 11 x 13
If we write into multiples it would be 120120 x 2
On splitting 60060 further and writing it as multiples of numbers it would be 30030 x 2.
On splitting 30030 further and writing it as multiples of numbers it would be 15015 x 2.
On splitting 15015 further and writing it as multiples of numbers it would be 5005 x 3.
On splitting 5005 further and writing it as multiples of numbers it would be 1001 x 5.
On splitting 1001 further and writing it as multiples of numbers it would be 143 x 7.
On splitting 143 further and writing it as multiples of numbers it would be 13 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 120120. 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 120120. Let’s start with 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 as it results in 120120 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 120120 now and we can write as 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 5, 7, 11, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 120120 ?
Answer: Prime Factors of 120120 are 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13.
2. What are the Prime Factors of 120120 ?
Answer: Prime Factors of 120120 are 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13.