Factor Tree of 40320
How to find the Factor Tree of 40320
Given number is 40320
The factor tree of 40320 is as follows:
| 40320 | ||||||||||||||||
| 2 | 20160 | |||||||||||||||
| 2 | 10080 | |||||||||||||||
| 2 | 5040 | |||||||||||||||
| 2 | 2520 | |||||||||||||||
| 2 | 1260 | |||||||||||||||
| 2 | 630 | |||||||||||||||
| 2 | 315 | |||||||||||||||
| 3 | 105 | |||||||||||||||
| 3 | 35 | |||||||||||||||
| 5 | 7 | |||||||||||||||
40320 = 2 x 20160
20160 = 2 x 10080
10080 = 2 x 5040
5040 = 2 x 2520
2520 = 2 x 1260
1260 = 2 x 630
630 = 2 x 315
315 = 3 x 105
105 = 3 x 35
35 = 5 x 7
If we write into multiples it would be 40320 x 2
On splitting 20160 further and writing it as multiples of numbers it would be 10080 x 2.
On splitting 10080 further and writing it as multiples of numbers it would be 5040 x 2.
On splitting 5040 further and writing it as multiples of numbers it would be 2520 x 2.
On splitting 2520 further and writing it as multiples of numbers it would be 1260 x 2.
On splitting 1260 further and writing it as multiples of numbers it would be 630 x 2.
On splitting 630 further and writing it as multiples of numbers it would be 315 x 2.
On splitting 315 further and writing it as multiples of numbers it would be 105 x 3.
On splitting 105 further and writing it as multiples of numbers it would be 35 x 3.
On splitting 35 further and writing it as multiples of numbers it would be 7 x 5.
Factor Tree Calculations
Here are examples of Factor tree calculations.
Ways to Find Factors of 40320
Here we are providing different methods to find the factors of the number 40320. 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 40320. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 as it results in 40320 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 40320 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 7 obtained here are also prime numbers and we will end up these branches.
FAQ on 40320 Factor Tree
1. What is factor tree for 40320 ?
Answer: Prime Factors of 40320 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7.
2. What are the Prime Factors of 40320 ?
Answer: Prime Factors of 40320 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7.