Given number is 42120
The factor tree of 42120 is as follows:
| 42120 | ||||||||||||||
| 2 | 21060 | |||||||||||||
| 2 | 10530 | |||||||||||||
| 2 | 5265 | |||||||||||||
| 3 | 1755 | |||||||||||||
| 3 | 585 | |||||||||||||
| 3 | 195 | |||||||||||||
| 3 | 65 | |||||||||||||
| 5 | 13 | |||||||||||||
42120 = 2 x 21060
21060 = 2 x 10530
10530 = 2 x 5265
5265 = 3 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 42120 x 2
On splitting 21060 further and writing it as multiples of numbers it would be 10530 x 2.
On splitting 10530 further and writing it as multiples of numbers it would be 5265 x 2.
On splitting 5265 further and writing it as multiples of numbers it would be 1755 x 3.
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.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 42120. 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 42120. Let’s start with 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 as it results in 42120 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 42120 now and we can write as 2 x 2 x 2 x 3 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, 3, 3, 3, 3, 5, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 42120 ?
Answer: Prime Factors of 42120 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13.
2. What are the Prime Factors of 42120 ?
Answer: Prime Factors of 42120 are 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13.