Given number is 23364
The factor tree of 23364 is as follows:
| 23364 | |||||||||||
| 2 | 11682 | ||||||||||
| 2 | 5841 | ||||||||||
| 3 | 1947 | ||||||||||
| 3 | 649 | ||||||||||
| 11 | 59 | ||||||||||
23364 = 2 x 11682
11682 = 2 x 5841
5841 = 3 x 1947
1947 = 3 x 649
649 = 11 x 59
If we write into multiples it would be 23364 x 2
On splitting 11682 further and writing it as multiples of numbers it would be 5841 x 2.
On splitting 5841 further and writing it as multiples of numbers it would be 1947 x 3.
On splitting 1947 further and writing it as multiples of numbers it would be 649 x 3.
On splitting 649 further and writing it as multiples of numbers it would be 59 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 23364. 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 23364. Let’s start with 2 x 2 x 3 x 3 x 11 x 59 as it results in 23364 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 23364 now and we can write as 2 x 2 x 3 x 3 x 11 x 59 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 11, 59 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 23364 ?
Answer: Prime Factors of 23364 are 2 x 2 x 3 x 3 x 11 x 59.
2. What are the Prime Factors of 23364 ?
Answer: Prime Factors of 23364 are 2 x 2 x 3 x 3 x 11 x 59.