Factor Tree of 112320
How to find the Factor Tree of 112320
Given number is 112320
The factor tree of 112320 is as follows:
| 112320 | ||||||||||||||||
| 2 | 56160 | |||||||||||||||
| 2 | 28080 | |||||||||||||||
| 2 | 14040 | |||||||||||||||
| 2 | 7020 | |||||||||||||||
| 2 | 3510 | |||||||||||||||
| 2 | 1755 | |||||||||||||||
| 3 | 585 | |||||||||||||||
| 3 | 195 | |||||||||||||||
| 3 | 65 | |||||||||||||||
| 5 | 13 | |||||||||||||||
112320 = 2 x 56160
56160 = 2 x 28080
28080 = 2 x 14040
14040 = 2 x 7020
7020 = 2 x 3510
3510 = 2 x 1755
1755 = 3 x 585
585 = 3 x 195
195 = 3 x 65
65 = 5 x 13
If we write into multiples it would be 112320 x 2
On splitting 56160 further and writing it as multiples of numbers it would be 28080 x 2.
On splitting 28080 further and writing it as multiples of numbers it would be 14040 x 2.
On splitting 14040 further and writing it as multiples of numbers it would be 7020 x 2.
On splitting 7020 further and writing it as multiples of numbers it would be 3510 x 2.
On splitting 3510 further and writing it as multiples of numbers it would be 1755 x 2.
On splitting 1755 further and writing it as multiples of numbers it would be 585 x 3.
On splitting 585 further and writing it as multiples of numbers it would be 195 x 3.
On splitting 195 further and writing it as multiples of numbers it would be 65 x 3.
On splitting 65 further and writing it as multiples of numbers it would be 13 x 5.
Factor Tree Calculations
Here are examples of Factor tree calculations.
Ways to Find Factors of 112320
Here we are providing different methods to find the factors of the number 112320. 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 112320. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 as it results in 112320 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 112320 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 3, 3, 5, 13 obtained here are also prime numbers and we will end up these branches.
FAQ on 112320 Factor Tree
1. What is factor tree for 112320 ?
Answer: Prime Factors of 112320 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13.
2. What are the Prime Factors of 112320 ?
Answer: Prime Factors of 112320 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13.