Given number is 138312
The factor tree of 138312 is as follows:
| 138312 | ||||||||||||
| 2 | 69156 | |||||||||||
| 2 | 34578 | |||||||||||
| 2 | 17289 | |||||||||||
| 3 | 5763 | |||||||||||
| 3 | 1921 | |||||||||||
| 17 | 113 | |||||||||||
138312 = 2 x 69156
69156 = 2 x 34578
34578 = 2 x 17289
17289 = 3 x 5763
5763 = 3 x 1921
1921 = 17 x 113
If we write into multiples it would be 138312 x 2
On splitting 69156 further and writing it as multiples of numbers it would be 34578 x 2.
On splitting 34578 further and writing it as multiples of numbers it would be 17289 x 2.
On splitting 17289 further and writing it as multiples of numbers it would be 5763 x 3.
On splitting 5763 further and writing it as multiples of numbers it would be 1921 x 3.
On splitting 1921 further and writing it as multiples of numbers it would be 113 x 17.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 138312. 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 138312. Let’s start with 2 x 2 x 2 x 3 x 3 x 17 x 113 as it results in 138312 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 138312 now and we can write as 2 x 2 x 2 x 3 x 3 x 17 x 113 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 17, 113 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 138312 ?
Answer: Prime Factors of 138312 are 2 x 2 x 2 x 3 x 3 x 17 x 113.
2. What are the Prime Factors of 138312 ?
Answer: Prime Factors of 138312 are 2 x 2 x 2 x 3 x 3 x 17 x 113.