Given number is 36252
The factor tree of 36252 is as follows:
| 36252 | |||||||||||
| 2 | 18126 | ||||||||||
| 2 | 9063 | ||||||||||
| 3 | 3021 | ||||||||||
| 3 | 1007 | ||||||||||
| 19 | 53 | ||||||||||
36252 = 2 x 18126
18126 = 2 x 9063
9063 = 3 x 3021
3021 = 3 x 1007
1007 = 19 x 53
If we write into multiples it would be 36252 x 2
On splitting 18126 further and writing it as multiples of numbers it would be 9063 x 2.
On splitting 9063 further and writing it as multiples of numbers it would be 3021 x 3.
On splitting 3021 further and writing it as multiples of numbers it would be 1007 x 3.
On splitting 1007 further and writing it as multiples of numbers it would be 53 x 19.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 36252. 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 36252. Let’s start with 2 x 2 x 3 x 3 x 19 x 53 as it results in 36252 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 36252 now and we can write as 2 x 2 x 3 x 3 x 19 x 53 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 19, 53 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 36252 ?
Answer: Prime Factors of 36252 are 2 x 2 x 3 x 3 x 19 x 53.
2. What are the Prime Factors of 36252 ?
Answer: Prime Factors of 36252 are 2 x 2 x 3 x 3 x 19 x 53.