Given number is 131472
The factor tree of 131472 is as follows:
| 131472 | |||||||||||||
| 2 | 65736 | ||||||||||||
| 2 | 32868 | ||||||||||||
| 2 | 16434 | ||||||||||||
| 2 | 8217 | ||||||||||||
| 3 | 2739 | ||||||||||||
| 3 | 913 | ||||||||||||
| 11 | 83 | ||||||||||||
131472 = 2 x 65736
65736 = 2 x 32868
32868 = 2 x 16434
16434 = 2 x 8217
8217 = 3 x 2739
2739 = 3 x 913
913 = 11 x 83
If we write into multiples it would be 131472 x 2
On splitting 65736 further and writing it as multiples of numbers it would be 32868 x 2.
On splitting 32868 further and writing it as multiples of numbers it would be 16434 x 2.
On splitting 16434 further and writing it as multiples of numbers it would be 8217 x 2.
On splitting 8217 further and writing it as multiples of numbers it would be 2739 x 3.
On splitting 2739 further and writing it as multiples of numbers it would be 913 x 3.
On splitting 913 further and writing it as multiples of numbers it would be 83 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 131472. 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 131472. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 11 x 83 as it results in 131472 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 131472 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 11 x 83 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 11, 83 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 131472 ?
Answer: Prime Factors of 131472 are 2 x 2 x 2 x 2 x 3 x 3 x 11 x 83.
2. What are the Prime Factors of 131472 ?
Answer: Prime Factors of 131472 are 2 x 2 x 2 x 2 x 3 x 3 x 11 x 83.