Given number is 9720
The factor tree of 9720 is as follows:
| 9720 | ||||||||||||||
| 2 | 4860 | |||||||||||||
| 2 | 2430 | |||||||||||||
| 2 | 1215 | |||||||||||||
| 3 | 405 | |||||||||||||
| 3 | 135 | |||||||||||||
| 3 | 45 | |||||||||||||
| 3 | 15 | |||||||||||||
| 3 | 5 | |||||||||||||
9720 = 2 x 4860
4860 = 2 x 2430
2430 = 2 x 1215
1215 = 3 x 405
405 = 3 x 135
135 = 3 x 45
45 = 3 x 15
15 = 3 x 5
If we write into multiples it would be 9720 x 2
On splitting 4860 further and writing it as multiples of numbers it would be 2430 x 2.
On splitting 2430 further and writing it as multiples of numbers it would be 1215 x 2.
On splitting 1215 further and writing it as multiples of numbers it would be 405 x 3.
On splitting 405 further and writing it as multiples of numbers it would be 135 x 3.
On splitting 135 further and writing it as multiples of numbers it would be 45 x 3.
On splitting 45 further and writing it as multiples of numbers it would be 15 x 3.
On splitting 15 further and writing it as multiples of numbers it would be 5 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 9720. 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 9720. Let’s start with 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 as it results in 9720 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 9720 now and we can write as 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 3, 3, 3, 5 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 9720 ?
Answer: Prime Factors of 9720 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5.
2. What are the Prime Factors of 9720 ?
Answer: Prime Factors of 9720 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5.