Given number is 32320
The factor tree of 32320 is as follows:
| 32320 | |||||||||||||
| 2 | 16160 | ||||||||||||
| 2 | 8080 | ||||||||||||
| 2 | 4040 | ||||||||||||
| 2 | 2020 | ||||||||||||
| 2 | 1010 | ||||||||||||
| 2 | 505 | ||||||||||||
| 5 | 101 | ||||||||||||
32320 = 2 x 16160
16160 = 2 x 8080
8080 = 2 x 4040
4040 = 2 x 2020
2020 = 2 x 1010
1010 = 2 x 505
505 = 5 x 101
If we write into multiples it would be 32320 x 2
On splitting 16160 further and writing it as multiples of numbers it would be 8080 x 2.
On splitting 8080 further and writing it as multiples of numbers it would be 4040 x 2.
On splitting 4040 further and writing it as multiples of numbers it would be 2020 x 2.
On splitting 2020 further and writing it as multiples of numbers it would be 1010 x 2.
On splitting 1010 further and writing it as multiples of numbers it would be 505 x 2.
On splitting 505 further and writing it as multiples of numbers it would be 101 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 32320. 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 32320. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 5 x 101 as it results in 32320 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 32320 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 5 x 101 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 5, 101 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 32320 ?
Answer: Prime Factors of 32320 are 2 x 2 x 2 x 2 x 2 x 2 x 5 x 101.
2. What are the Prime Factors of 32320 ?
Answer: Prime Factors of 32320 are 2 x 2 x 2 x 2 x 2 x 2 x 5 x 101.