Given number is 4320
The factor tree of 4320 is as follows:
| 4320 | ||||||||||||||
| 2 | 2160 | |||||||||||||
| 2 | 1080 | |||||||||||||
| 2 | 540 | |||||||||||||
| 2 | 270 | |||||||||||||
| 2 | 135 | |||||||||||||
| 3 | 45 | |||||||||||||
| 3 | 15 | |||||||||||||
| 3 | 5 | |||||||||||||
4320 = 2 x 2160
2160 = 2 x 1080
1080 = 2 x 540
540 = 2 x 270
270 = 2 x 135
135 = 3 x 45
45 = 3 x 15
15 = 3 x 5
If we write into multiples it would be 4320 x 2
On splitting 2160 further and writing it as multiples of numbers it would be 1080 x 2.
On splitting 1080 further and writing it as multiples of numbers it would be 540 x 2.
On splitting 540 further and writing it as multiples of numbers it would be 270 x 2.
On splitting 270 further and writing it as multiples of numbers it would be 135 x 2.
On splitting 135 further and writing it as multiples of numbers it would be 45 x 3.
On splitting 45 further and writing it as multiples of numbers it would be 15 x 3.
On splitting 15 further and writing it as multiples of numbers it would be 5 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 4320. 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 4320. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 as it results in 4320 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 4320 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 3, 3, 5 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 4320 ?
Answer: Prime Factors of 4320 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5.
2. What are the Prime Factors of 4320 ?
Answer: Prime Factors of 4320 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5.