Given number is 27264
The factor tree of 27264 is as follows:
| 27264 | ||||||||||||||
| 2 | 13632 | |||||||||||||
| 2 | 6816 | |||||||||||||
| 2 | 3408 | |||||||||||||
| 2 | 1704 | |||||||||||||
| 2 | 852 | |||||||||||||
| 2 | 426 | |||||||||||||
| 2 | 213 | |||||||||||||
| 3 | 71 | |||||||||||||
27264 = 2 x 13632
13632 = 2 x 6816
6816 = 2 x 3408
3408 = 2 x 1704
1704 = 2 x 852
852 = 2 x 426
426 = 2 x 213
213 = 3 x 71
If we write into multiples it would be 27264 x 2
On splitting 13632 further and writing it as multiples of numbers it would be 6816 x 2.
On splitting 6816 further and writing it as multiples of numbers it would be 3408 x 2.
On splitting 3408 further and writing it as multiples of numbers it would be 1704 x 2.
On splitting 1704 further and writing it as multiples of numbers it would be 852 x 2.
On splitting 852 further and writing it as multiples of numbers it would be 426 x 2.
On splitting 426 further and writing it as multiples of numbers it would be 213 x 2.
On splitting 213 further and writing it as multiples of numbers it would be 71 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 27264. 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 27264. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 71 as it results in 27264 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 27264 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 71 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 3, 71 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 27264 ?
Answer: Prime Factors of 27264 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 71.
2. What are the Prime Factors of 27264 ?
Answer: Prime Factors of 27264 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 71.