Given number is 45216
The factor tree of 45216 is as follows:
| 45216 | |||||||||||||
| 2 | 22608 | ||||||||||||
| 2 | 11304 | ||||||||||||
| 2 | 5652 | ||||||||||||
| 2 | 2826 | ||||||||||||
| 2 | 1413 | ||||||||||||
| 3 | 471 | ||||||||||||
| 3 | 157 | ||||||||||||
45216 = 2 x 22608
22608 = 2 x 11304
11304 = 2 x 5652
5652 = 2 x 2826
2826 = 2 x 1413
1413 = 3 x 471
471 = 3 x 157
If we write into multiples it would be 45216 x 2
On splitting 22608 further and writing it as multiples of numbers it would be 11304 x 2.
On splitting 11304 further and writing it as multiples of numbers it would be 5652 x 2.
On splitting 5652 further and writing it as multiples of numbers it would be 2826 x 2.
On splitting 2826 further and writing it as multiples of numbers it would be 1413 x 2.
On splitting 1413 further and writing it as multiples of numbers it would be 471 x 3.
On splitting 471 further and writing it as multiples of numbers it would be 157 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 45216. 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 45216. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 3 x 157 as it results in 45216 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 45216 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 3 x 157 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 3, 157 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 45216 ?
Answer: Prime Factors of 45216 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 157.
2. What are the Prime Factors of 45216 ?
Answer: Prime Factors of 45216 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 157.