Given number is 8256
The factor tree of 8256 is as follows:
| 8256 | |||||||||||||
| 2 | 4128 | ||||||||||||
| 2 | 2064 | ||||||||||||
| 2 | 1032 | ||||||||||||
| 2 | 516 | ||||||||||||
| 2 | 258 | ||||||||||||
| 2 | 129 | ||||||||||||
| 3 | 43 | ||||||||||||
8256 = 2 x 4128
4128 = 2 x 2064
2064 = 2 x 1032
1032 = 2 x 516
516 = 2 x 258
258 = 2 x 129
129 = 3 x 43
If we write into multiples it would be 8256 x 2
On splitting 4128 further and writing it as multiples of numbers it would be 2064 x 2.
On splitting 2064 further and writing it as multiples of numbers it would be 1032 x 2.
On splitting 1032 further and writing it as multiples of numbers it would be 516 x 2.
On splitting 516 further and writing it as multiples of numbers it would be 258 x 2.
On splitting 258 further and writing it as multiples of numbers it would be 129 x 2.
On splitting 129 further and writing it as multiples of numbers it would be 43 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 8256. 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 8256. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43 as it results in 8256 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 8256 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 43 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 8256 ?
Answer: Prime Factors of 8256 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43.
2. What are the Prime Factors of 8256 ?
Answer: Prime Factors of 8256 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43.