Given number is 135264
The factor tree of 135264 is as follows:
| 135264 | ||||||||||||
| 2 | 67632 | |||||||||||
| 2 | 33816 | |||||||||||
| 2 | 16908 | |||||||||||
| 2 | 8454 | |||||||||||
| 2 | 4227 | |||||||||||
| 3 | 1409 | |||||||||||
135264 = 2 x 67632
67632 = 2 x 33816
33816 = 2 x 16908
16908 = 2 x 8454
8454 = 2 x 4227
4227 = 3 x 1409
If we write into multiples it would be 135264 x 2
On splitting 67632 further and writing it as multiples of numbers it would be 33816 x 2.
On splitting 33816 further and writing it as multiples of numbers it would be 16908 x 2.
On splitting 16908 further and writing it as multiples of numbers it would be 8454 x 2.
On splitting 8454 further and writing it as multiples of numbers it would be 4227 x 2.
On splitting 4227 further and writing it as multiples of numbers it would be 1409 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 135264. 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 135264. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 1409 as it results in 135264 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 135264 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 1409 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 1409 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 135264 ?
Answer: Prime Factors of 135264 are 2 x 2 x 2 x 2 x 2 x 3 x 1409.
2. What are the Prime Factors of 135264 ?
Answer: Prime Factors of 135264 are 2 x 2 x 2 x 2 x 2 x 3 x 1409.