Given number is 6816
The factor tree of 6816 is as follows:
| 6816 | ||||||||||||
| 2 | 3408 | |||||||||||
| 2 | 1704 | |||||||||||
| 2 | 852 | |||||||||||
| 2 | 426 | |||||||||||
| 2 | 213 | |||||||||||
| 3 | 71 | |||||||||||
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 6816 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 6816. 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 6816. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 71 as it results in 6816 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 6816 now and we can write as 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, 3, 71 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 6816 ?
Answer: Prime Factors of 6816 are 2 x 2 x 2 x 2 x 2 x 3 x 71.
2. What are the Prime Factors of 6816 ?
Answer: Prime Factors of 6816 are 2 x 2 x 2 x 2 x 2 x 3 x 71.