Given number is 138456
The factor tree of 138456 is as follows:
| 138456 | ||||||||||||
| 2 | 69228 | |||||||||||
| 2 | 34614 | |||||||||||
| 2 | 17307 | |||||||||||
| 3 | 5769 | |||||||||||
| 3 | 1923 | |||||||||||
| 3 | 641 | |||||||||||
138456 = 2 x 69228
69228 = 2 x 34614
34614 = 2 x 17307
17307 = 3 x 5769
5769 = 3 x 1923
1923 = 3 x 641
If we write into multiples it would be 138456 x 2
On splitting 69228 further and writing it as multiples of numbers it would be 34614 x 2.
On splitting 34614 further and writing it as multiples of numbers it would be 17307 x 2.
On splitting 17307 further and writing it as multiples of numbers it would be 5769 x 3.
On splitting 5769 further and writing it as multiples of numbers it would be 1923 x 3.
On splitting 1923 further and writing it as multiples of numbers it would be 641 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 138456. 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 138456. Let’s start with 2 x 2 x 2 x 3 x 3 x 3 x 641 as it results in 138456 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 138456 now and we can write as 2 x 2 x 2 x 3 x 3 x 3 x 641 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 3, 641 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 138456 ?
Answer: Prime Factors of 138456 are 2 x 2 x 2 x 3 x 3 x 3 x 641.
2. What are the Prime Factors of 138456 ?
Answer: Prime Factors of 138456 are 2 x 2 x 2 x 3 x 3 x 3 x 641.