Given number is 22304
The factor tree of 22304 is as follows:
| 22304 | ||||||||||||
| 2 | 11152 | |||||||||||
| 2 | 5576 | |||||||||||
| 2 | 2788 | |||||||||||
| 2 | 1394 | |||||||||||
| 2 | 697 | |||||||||||
| 17 | 41 | |||||||||||
22304 = 2 x 11152
11152 = 2 x 5576
5576 = 2 x 2788
2788 = 2 x 1394
1394 = 2 x 697
697 = 17 x 41
If we write into multiples it would be 22304 x 2
On splitting 11152 further and writing it as multiples of numbers it would be 5576 x 2.
On splitting 5576 further and writing it as multiples of numbers it would be 2788 x 2.
On splitting 2788 further and writing it as multiples of numbers it would be 1394 x 2.
On splitting 1394 further and writing it as multiples of numbers it would be 697 x 2.
On splitting 697 further and writing it as multiples of numbers it would be 41 x 17.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 22304. 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 22304. Let’s start with 2 x 2 x 2 x 2 x 2 x 17 x 41 as it results in 22304 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 22304 now and we can write as 2 x 2 x 2 x 2 x 2 x 17 x 41 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 17, 41 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 22304 ?
Answer: Prime Factors of 22304 are 2 x 2 x 2 x 2 x 2 x 17 x 41.
2. What are the Prime Factors of 22304 ?
Answer: Prime Factors of 22304 are 2 x 2 x 2 x 2 x 2 x 17 x 41.