Given number is 9152
The factor tree of 9152 is as follows:
| 9152 | |||||||||||||
| 2 | 4576 | ||||||||||||
| 2 | 2288 | ||||||||||||
| 2 | 1144 | ||||||||||||
| 2 | 572 | ||||||||||||
| 2 | 286 | ||||||||||||
| 2 | 143 | ||||||||||||
| 11 | 13 | ||||||||||||
9152 = 2 x 4576
4576 = 2 x 2288
2288 = 2 x 1144
1144 = 2 x 572
572 = 2 x 286
286 = 2 x 143
143 = 11 x 13
If we write into multiples it would be 9152 x 2
On splitting 4576 further and writing it as multiples of numbers it would be 2288 x 2.
On splitting 2288 further and writing it as multiples of numbers it would be 1144 x 2.
On splitting 1144 further and writing it as multiples of numbers it would be 572 x 2.
On splitting 572 further and writing it as multiples of numbers it would be 286 x 2.
On splitting 286 further and writing it as multiples of numbers it would be 143 x 2.
On splitting 143 further and writing it as multiples of numbers it would be 13 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 9152. 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 9152. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 11 x 13 as it results in 9152 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 9152 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 11 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 11, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 9152 ?
Answer: Prime Factors of 9152 are 2 x 2 x 2 x 2 x 2 x 2 x 11 x 13.
2. What are the Prime Factors of 9152 ?
Answer: Prime Factors of 9152 are 2 x 2 x 2 x 2 x 2 x 2 x 11 x 13.