Given number is 17424
The factor tree of 17424 is as follows:
| 17424 | |||||||||||||
| 2 | 8712 | ||||||||||||
| 2 | 4356 | ||||||||||||
| 2 | 2178 | ||||||||||||
| 2 | 1089 | ||||||||||||
| 3 | 363 | ||||||||||||
| 3 | 121 | ||||||||||||
| 11 | 11 | ||||||||||||
17424 = 2 x 8712
8712 = 2 x 4356
4356 = 2 x 2178
2178 = 2 x 1089
1089 = 3 x 363
363 = 3 x 121
121 = 11 x 11
If we write into multiples it would be 17424 x 2
On splitting 8712 further and writing it as multiples of numbers it would be 4356 x 2.
On splitting 4356 further and writing it as multiples of numbers it would be 2178 x 2.
On splitting 2178 further and writing it as multiples of numbers it would be 1089 x 2.
On splitting 1089 further and writing it as multiples of numbers it would be 363 x 3.
On splitting 363 further and writing it as multiples of numbers it would be 121 x 3.
On splitting 121 further and writing it as multiples of numbers it would be 11 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 17424. 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 17424. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11 as it results in 17424 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 17424 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 11, 11 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 17424 ?
Answer: Prime Factors of 17424 are 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11.
2. What are the Prime Factors of 17424 ?
Answer: Prime Factors of 17424 are 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11.