Given number is 23424
The factor tree of 23424 is as follows:
| 23424 | ||||||||||||||
| 2 | 11712 | |||||||||||||
| 2 | 5856 | |||||||||||||
| 2 | 2928 | |||||||||||||
| 2 | 1464 | |||||||||||||
| 2 | 732 | |||||||||||||
| 2 | 366 | |||||||||||||
| 2 | 183 | |||||||||||||
| 3 | 61 | |||||||||||||
23424 = 2 x 11712
11712 = 2 x 5856
5856 = 2 x 2928
2928 = 2 x 1464
1464 = 2 x 732
732 = 2 x 366
366 = 2 x 183
183 = 3 x 61
If we write into multiples it would be 23424 x 2
On splitting 11712 further and writing it as multiples of numbers it would be 5856 x 2.
On splitting 5856 further and writing it as multiples of numbers it would be 2928 x 2.
On splitting 2928 further and writing it as multiples of numbers it would be 1464 x 2.
On splitting 1464 further and writing it as multiples of numbers it would be 732 x 2.
On splitting 732 further and writing it as multiples of numbers it would be 366 x 2.
On splitting 366 further and writing it as multiples of numbers it would be 183 x 2.
On splitting 183 further and writing it as multiples of numbers it would be 61 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 23424. 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 23424. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 61 as it results in 23424 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 23424 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 61 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 3, 61 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 23424 ?
Answer: Prime Factors of 23424 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 61.
2. What are the Prime Factors of 23424 ?
Answer: Prime Factors of 23424 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 61.