Given number is 18252
The factor tree of 18252 is as follows:
| 18252 | ||||||||||||
| 2 | 9126 | |||||||||||
| 2 | 4563 | |||||||||||
| 3 | 1521 | |||||||||||
| 3 | 507 | |||||||||||
| 3 | 169 | |||||||||||
| 13 | 13 | |||||||||||
18252 = 2 x 9126
9126 = 2 x 4563
4563 = 3 x 1521
1521 = 3 x 507
507 = 3 x 169
169 = 13 x 13
If we write into multiples it would be 18252 x 2
On splitting 9126 further and writing it as multiples of numbers it would be 4563 x 2.
On splitting 4563 further and writing it as multiples of numbers it would be 1521 x 3.
On splitting 1521 further and writing it as multiples of numbers it would be 507 x 3.
On splitting 507 further and writing it as multiples of numbers it would be 169 x 3.
On splitting 169 further and writing it as multiples of numbers it would be 13 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 18252. 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 18252. Let’s start with 2 x 2 x 3 x 3 x 3 x 13 x 13 as it results in 18252 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 18252 now and we can write as 2 x 2 x 3 x 3 x 3 x 13 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 3, 13, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 18252 ?
Answer: Prime Factors of 18252 are 2 x 2 x 3 x 3 x 3 x 13 x 13.
2. What are the Prime Factors of 18252 ?
Answer: Prime Factors of 18252 are 2 x 2 x 3 x 3 x 3 x 13 x 13.