Given number is 30120
The factor tree of 30120 is as follows:
| 30120 | |||||||||||
| 2 | 15060 | ||||||||||
| 2 | 7530 | ||||||||||
| 2 | 3765 | ||||||||||
| 3 | 1255 | ||||||||||
| 5 | 251 | ||||||||||
30120 = 2 x 15060
15060 = 2 x 7530
7530 = 2 x 3765
3765 = 3 x 1255
1255 = 5 x 251
If we write into multiples it would be 30120 x 2
On splitting 15060 further and writing it as multiples of numbers it would be 7530 x 2.
On splitting 7530 further and writing it as multiples of numbers it would be 3765 x 2.
On splitting 3765 further and writing it as multiples of numbers it would be 1255 x 3.
On splitting 1255 further and writing it as multiples of numbers it would be 251 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 30120. 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 30120. Let’s start with 2 x 2 x 2 x 3 x 5 x 251 as it results in 30120 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 30120 now and we can write as 2 x 2 x 2 x 3 x 5 x 251 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 5, 251 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 30120 ?
Answer: Prime Factors of 30120 are 2 x 2 x 2 x 3 x 5 x 251.
2. What are the Prime Factors of 30120 ?
Answer: Prime Factors of 30120 are 2 x 2 x 2 x 3 x 5 x 251.