Given number is 131364
The factor tree of 131364 is as follows:
| 131364 | |||||||||||
| 2 | 65682 | ||||||||||
| 2 | 32841 | ||||||||||
| 3 | 10947 | ||||||||||
| 3 | 3649 | ||||||||||
| 41 | 89 | ||||||||||
131364 = 2 x 65682
65682 = 2 x 32841
32841 = 3 x 10947
10947 = 3 x 3649
3649 = 41 x 89
If we write into multiples it would be 131364 x 2
On splitting 65682 further and writing it as multiples of numbers it would be 32841 x 2.
On splitting 32841 further and writing it as multiples of numbers it would be 10947 x 3.
On splitting 10947 further and writing it as multiples of numbers it would be 3649 x 3.
On splitting 3649 further and writing it as multiples of numbers it would be 89 x 41.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 131364. 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 131364. Let’s start with 2 x 2 x 3 x 3 x 41 x 89 as it results in 131364 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 131364 now and we can write as 2 x 2 x 3 x 3 x 41 x 89 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 41, 89 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 131364 ?
Answer: Prime Factors of 131364 are 2 x 2 x 3 x 3 x 41 x 89.
2. What are the Prime Factors of 131364 ?
Answer: Prime Factors of 131364 are 2 x 2 x 3 x 3 x 41 x 89.