Given number is 12320
The factor tree of 12320 is as follows:
| 12320 | |||||||||||||
| 2 | 6160 | ||||||||||||
| 2 | 3080 | ||||||||||||
| 2 | 1540 | ||||||||||||
| 2 | 770 | ||||||||||||
| 2 | 385 | ||||||||||||
| 5 | 77 | ||||||||||||
| 7 | 11 | ||||||||||||
12320 = 2 x 6160
6160 = 2 x 3080
3080 = 2 x 1540
1540 = 2 x 770
770 = 2 x 385
385 = 5 x 77
77 = 7 x 11
If we write into multiples it would be 12320 x 2
On splitting 6160 further and writing it as multiples of numbers it would be 3080 x 2.
On splitting 3080 further and writing it as multiples of numbers it would be 1540 x 2.
On splitting 1540 further and writing it as multiples of numbers it would be 770 x 2.
On splitting 770 further and writing it as multiples of numbers it would be 385 x 2.
On splitting 385 further and writing it as multiples of numbers it would be 77 x 5.
On splitting 77 further and writing it as multiples of numbers it would be 11 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 12320. 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 12320. Let’s start with 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11 as it results in 12320 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 12320 now and we can write as 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 5, 7, 11 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 12320 ?
Answer: Prime Factors of 12320 are 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11.
2. What are the Prime Factors of 12320 ?
Answer: Prime Factors of 12320 are 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11.