Given number is 135216
The factor tree of 135216 is as follows:
| 135216 | |||||||||||||
| 2 | 67608 | ||||||||||||
| 2 | 33804 | ||||||||||||
| 2 | 16902 | ||||||||||||
| 2 | 8451 | ||||||||||||
| 3 | 2817 | ||||||||||||
| 3 | 939 | ||||||||||||
| 3 | 313 | ||||||||||||
135216 = 2 x 67608
67608 = 2 x 33804
33804 = 2 x 16902
16902 = 2 x 8451
8451 = 3 x 2817
2817 = 3 x 939
939 = 3 x 313
If we write into multiples it would be 135216 x 2
On splitting 67608 further and writing it as multiples of numbers it would be 33804 x 2.
On splitting 33804 further and writing it as multiples of numbers it would be 16902 x 2.
On splitting 16902 further and writing it as multiples of numbers it would be 8451 x 2.
On splitting 8451 further and writing it as multiples of numbers it would be 2817 x 3.
On splitting 2817 further and writing it as multiples of numbers it would be 939 x 3.
On splitting 939 further and writing it as multiples of numbers it would be 313 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 135216. 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 135216. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 3 x 313 as it results in 135216 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 135216 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 3 x 313 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 3, 313 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 135216 ?
Answer: Prime Factors of 135216 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 313.
2. What are the Prime Factors of 135216 ?
Answer: Prime Factors of 135216 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 313.