Given number is 32064
The factor tree of 32064 is as follows:
| 32064 | |||||||||||||
| 2 | 16032 | ||||||||||||
| 2 | 8016 | ||||||||||||
| 2 | 4008 | ||||||||||||
| 2 | 2004 | ||||||||||||
| 2 | 1002 | ||||||||||||
| 2 | 501 | ||||||||||||
| 3 | 167 | ||||||||||||
32064 = 2 x 16032
16032 = 2 x 8016
8016 = 2 x 4008
4008 = 2 x 2004
2004 = 2 x 1002
1002 = 2 x 501
501 = 3 x 167
If we write into multiples it would be 32064 x 2
On splitting 16032 further and writing it as multiples of numbers it would be 8016 x 2.
On splitting 8016 further and writing it as multiples of numbers it would be 4008 x 2.
On splitting 4008 further and writing it as multiples of numbers it would be 2004 x 2.
On splitting 2004 further and writing it as multiples of numbers it would be 1002 x 2.
On splitting 1002 further and writing it as multiples of numbers it would be 501 x 2.
On splitting 501 further and writing it as multiples of numbers it would be 167 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 32064. 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 32064. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 167 as it results in 32064 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 32064 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 167 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 167 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 32064 ?
Answer: Prime Factors of 32064 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 167.
2. What are the Prime Factors of 32064 ?
Answer: Prime Factors of 32064 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 167.