Given number is 14352
The factor tree of 14352 is as follows:
| 14352 | ||||||||||||
| 2 | 7176 | |||||||||||
| 2 | 3588 | |||||||||||
| 2 | 1794 | |||||||||||
| 2 | 897 | |||||||||||
| 3 | 299 | |||||||||||
| 13 | 23 | |||||||||||
14352 = 2 x 7176
7176 = 2 x 3588
3588 = 2 x 1794
1794 = 2 x 897
897 = 3 x 299
299 = 13 x 23
If we write into multiples it would be 14352 x 2
On splitting 7176 further and writing it as multiples of numbers it would be 3588 x 2.
On splitting 3588 further and writing it as multiples of numbers it would be 1794 x 2.
On splitting 1794 further and writing it as multiples of numbers it would be 897 x 2.
On splitting 897 further and writing it as multiples of numbers it would be 299 x 3.
On splitting 299 further and writing it as multiples of numbers it would be 23 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 14352. 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 14352. Let’s start with 2 x 2 x 2 x 2 x 3 x 13 x 23 as it results in 14352 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 14352 now and we can write as 2 x 2 x 2 x 2 x 3 x 13 x 23 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 13, 23 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 14352 ?
Answer: Prime Factors of 14352 are 2 x 2 x 2 x 2 x 3 x 13 x 23.
2. What are the Prime Factors of 14352 ?
Answer: Prime Factors of 14352 are 2 x 2 x 2 x 2 x 3 x 13 x 23.