Given number is 138112
The factor tree of 138112 is as follows:
| 138112 | ||||||||||||||
| 2 | 69056 | |||||||||||||
| 2 | 34528 | |||||||||||||
| 2 | 17264 | |||||||||||||
| 2 | 8632 | |||||||||||||
| 2 | 4316 | |||||||||||||
| 2 | 2158 | |||||||||||||
| 2 | 1079 | |||||||||||||
| 13 | 83 | |||||||||||||
138112 = 2 x 69056
69056 = 2 x 34528
34528 = 2 x 17264
17264 = 2 x 8632
8632 = 2 x 4316
4316 = 2 x 2158
2158 = 2 x 1079
1079 = 13 x 83
If we write into multiples it would be 138112 x 2
On splitting 69056 further and writing it as multiples of numbers it would be 34528 x 2.
On splitting 34528 further and writing it as multiples of numbers it would be 17264 x 2.
On splitting 17264 further and writing it as multiples of numbers it would be 8632 x 2.
On splitting 8632 further and writing it as multiples of numbers it would be 4316 x 2.
On splitting 4316 further and writing it as multiples of numbers it would be 2158 x 2.
On splitting 2158 further and writing it as multiples of numbers it would be 1079 x 2.
On splitting 1079 further and writing it as multiples of numbers it would be 83 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 138112. 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 138112. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 83 as it results in 138112 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 138112 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 83 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 13, 83 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 138112 ?
Answer: Prime Factors of 138112 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 83.
2. What are the Prime Factors of 138112 ?
Answer: Prime Factors of 138112 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 83.