Given number is 36216
The factor tree of 36216 is as follows:
| 36216 | |||||||||||
| 2 | 18108 | ||||||||||
| 2 | 9054 | ||||||||||
| 2 | 4527 | ||||||||||
| 3 | 1509 | ||||||||||
| 3 | 503 | ||||||||||
36216 = 2 x 18108
18108 = 2 x 9054
9054 = 2 x 4527
4527 = 3 x 1509
1509 = 3 x 503
If we write into multiples it would be 36216 x 2
On splitting 18108 further and writing it as multiples of numbers it would be 9054 x 2.
On splitting 9054 further and writing it as multiples of numbers it would be 4527 x 2.
On splitting 4527 further and writing it as multiples of numbers it would be 1509 x 3.
On splitting 1509 further and writing it as multiples of numbers it would be 503 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 36216. 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 36216. Let’s start with 2 x 2 x 2 x 3 x 3 x 503 as it results in 36216 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 36216 now and we can write as 2 x 2 x 2 x 3 x 3 x 503 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 503 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 36216 ?
Answer: Prime Factors of 36216 are 2 x 2 x 2 x 3 x 3 x 503.
2. What are the Prime Factors of 36216 ?
Answer: Prime Factors of 36216 are 2 x 2 x 2 x 3 x 3 x 503.