Given number is 138448
The factor tree of 138448 is as follows:
| 138448 | |||||||||||
| 2 | 69224 | ||||||||||
| 2 | 34612 | ||||||||||
| 2 | 17306 | ||||||||||
| 2 | 8653 | ||||||||||
| 17 | 509 | ||||||||||
138448 = 2 x 69224
69224 = 2 x 34612
34612 = 2 x 17306
17306 = 2 x 8653
8653 = 17 x 509
If we write into multiples it would be 138448 x 2
On splitting 69224 further and writing it as multiples of numbers it would be 34612 x 2.
On splitting 34612 further and writing it as multiples of numbers it would be 17306 x 2.
On splitting 17306 further and writing it as multiples of numbers it would be 8653 x 2.
On splitting 8653 further and writing it as multiples of numbers it would be 509 x 17.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 138448. 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 138448. Let’s start with 2 x 2 x 2 x 2 x 17 x 509 as it results in 138448 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 138448 now and we can write as 2 x 2 x 2 x 2 x 17 x 509 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 17, 509 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 138448 ?
Answer: Prime Factors of 138448 are 2 x 2 x 2 x 2 x 17 x 509.
2. What are the Prime Factors of 138448 ?
Answer: Prime Factors of 138448 are 2 x 2 x 2 x 2 x 17 x 509.