Factor Tree of 69120
How to find the Factor Tree of 69120
Given number is 69120
The factor tree of 69120 is as follows:
| 69120 | ||||||||||||||||||
| 2 | 34560 | |||||||||||||||||
| 2 | 17280 | |||||||||||||||||
| 2 | 8640 | |||||||||||||||||
| 2 | 4320 | |||||||||||||||||
| 2 | 2160 | |||||||||||||||||
| 2 | 1080 | |||||||||||||||||
| 2 | 540 | |||||||||||||||||
| 2 | 270 | |||||||||||||||||
| 2 | 135 | |||||||||||||||||
| 3 | 45 | |||||||||||||||||
| 3 | 15 | |||||||||||||||||
| 3 | 5 | |||||||||||||||||
69120 = 2 x 34560
34560 = 2 x 17280
17280 = 2 x 8640
8640 = 2 x 4320
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 69120 x 2
On splitting 34560 further and writing it as multiples of numbers it would be 17280 x 2.
On splitting 17280 further and writing it as multiples of numbers it would be 8640 x 2.
On splitting 8640 further and writing it as multiples of numbers it would be 4320 x 2.
On splitting 4320 further and writing it as multiples of numbers it would be 2160 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.
Factor Tree Calculations
Here are examples of Factor tree calculations.
Ways to Find Factors of 69120
Here we are providing different methods to find the factors of the number 69120. 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 69120. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 as it results in 69120 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 69120 now and we can write as 2 x 2 x 2 x 2 x 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, 2, 2, 2, 2, 3, 3, 3, 5 obtained here are also prime numbers and we will end up these branches.
FAQ on 69120 Factor Tree
1. What is factor tree for 69120 ?
Answer: Prime Factors of 69120 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5.
2. What are the Prime Factors of 69120 ?
Answer: Prime Factors of 69120 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5.