Factor Tree of 123120
How to find the Factor Tree of 123120
Given number is 123120
The factor tree of 123120 is as follows:
| 123120 | |||||||||||||||
| 2 | 61560 | ||||||||||||||
| 2 | 30780 | ||||||||||||||
| 2 | 15390 | ||||||||||||||
| 2 | 7695 | ||||||||||||||
| 3 | 2565 | ||||||||||||||
| 3 | 855 | ||||||||||||||
| 3 | 285 | ||||||||||||||
| 3 | 95 | ||||||||||||||
| 5 | 19 | ||||||||||||||
123120 = 2 x 61560
61560 = 2 x 30780
30780 = 2 x 15390
15390 = 2 x 7695
7695 = 3 x 2565
2565 = 3 x 855
855 = 3 x 285
285 = 3 x 95
95 = 5 x 19
If we write into multiples it would be 123120 x 2
On splitting 61560 further and writing it as multiples of numbers it would be 30780 x 2.
On splitting 30780 further and writing it as multiples of numbers it would be 15390 x 2.
On splitting 15390 further and writing it as multiples of numbers it would be 7695 x 2.
On splitting 7695 further and writing it as multiples of numbers it would be 2565 x 3.
On splitting 2565 further and writing it as multiples of numbers it would be 855 x 3.
On splitting 855 further and writing it as multiples of numbers it would be 285 x 3.
On splitting 285 further and writing it as multiples of numbers it would be 95 x 3.
On splitting 95 further and writing it as multiples of numbers it would be 19 x 5.
Factor Tree Calculations
Here are examples of Factor tree calculations.
Ways to Find Factors of 123120
Here we are providing different methods to find the factors of the number 123120. 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 123120. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 19 as it results in 123120 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 123120 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 19 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 3, 3, 5, 19 obtained here are also prime numbers and we will end up these branches.
FAQ on 123120 Factor Tree
1. What is factor tree for 123120 ?
Answer: Prime Factors of 123120 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 19.
2. What are the Prime Factors of 123120 ?
Answer: Prime Factors of 123120 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 19.