Given number is 135252
The factor tree of 135252 is as follows:
| 135252 | ||||||||||||
| 2 | 67626 | |||||||||||
| 2 | 33813 | |||||||||||
| 3 | 11271 | |||||||||||
| 3 | 3757 | |||||||||||
| 13 | 289 | |||||||||||
| 17 | 17 | |||||||||||
135252 = 2 x 67626
67626 = 2 x 33813
33813 = 3 x 11271
11271 = 3 x 3757
3757 = 13 x 289
289 = 17 x 17
If we write into multiples it would be 135252 x 2
On splitting 67626 further and writing it as multiples of numbers it would be 33813 x 2.
On splitting 33813 further and writing it as multiples of numbers it would be 11271 x 3.
On splitting 11271 further and writing it as multiples of numbers it would be 3757 x 3.
On splitting 3757 further and writing it as multiples of numbers it would be 289 x 13.
On splitting 289 further and writing it as multiples of numbers it would be 17 x 17.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 135252. 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 135252. Let’s start with 2 x 2 x 3 x 3 x 13 x 17 x 17 as it results in 135252 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 135252 now and we can write as 2 x 2 x 3 x 3 x 13 x 17 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 13, 17, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 135252 ?
Answer: Prime Factors of 135252 are 2 x 2 x 3 x 3 x 13 x 17 x 17.
2. What are the Prime Factors of 135252 ?
Answer: Prime Factors of 135252 are 2 x 2 x 3 x 3 x 13 x 17 x 17.