Given number is 8272
The factor tree of 8272 is as follows:
| 8272 | |||||||||||
| 2 | 4136 | ||||||||||
| 2 | 2068 | ||||||||||
| 2 | 1034 | ||||||||||
| 2 | 517 | ||||||||||
| 11 | 47 | ||||||||||
8272 = 2 x 4136
4136 = 2 x 2068
2068 = 2 x 1034
1034 = 2 x 517
517 = 11 x 47
If we write into multiples it would be 8272 x 2
On splitting 4136 further and writing it as multiples of numbers it would be 2068 x 2.
On splitting 2068 further and writing it as multiples of numbers it would be 1034 x 2.
On splitting 1034 further and writing it as multiples of numbers it would be 517 x 2.
On splitting 517 further and writing it as multiples of numbers it would be 47 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 8272. 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 8272. Let’s start with 2 x 2 x 2 x 2 x 11 x 47 as it results in 8272 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 8272 now and we can write as 2 x 2 x 2 x 2 x 11 x 47 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 11, 47 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 8272 ?
Answer: Prime Factors of 8272 are 2 x 2 x 2 x 2 x 11 x 47.
2. What are the Prime Factors of 8272 ?
Answer: Prime Factors of 8272 are 2 x 2 x 2 x 2 x 11 x 47.