Given number is 57120
The factor tree of 57120 is as follows:
| 57120 | ||||||||||||||
| 2 | 28560 | |||||||||||||
| 2 | 14280 | |||||||||||||
| 2 | 7140 | |||||||||||||
| 2 | 3570 | |||||||||||||
| 2 | 1785 | |||||||||||||
| 3 | 595 | |||||||||||||
| 5 | 119 | |||||||||||||
| 7 | 17 | |||||||||||||
57120 = 2 x 28560
28560 = 2 x 14280
14280 = 2 x 7140
7140 = 2 x 3570
3570 = 2 x 1785
1785 = 3 x 595
595 = 5 x 119
119 = 7 x 17
If we write into multiples it would be 57120 x 2
On splitting 28560 further and writing it as multiples of numbers it would be 14280 x 2.
On splitting 14280 further and writing it as multiples of numbers it would be 7140 x 2.
On splitting 7140 further and writing it as multiples of numbers it would be 3570 x 2.
On splitting 3570 further and writing it as multiples of numbers it would be 1785 x 2.
On splitting 1785 further and writing it as multiples of numbers it would be 595 x 3.
On splitting 595 further and writing it as multiples of numbers it would be 119 x 5.
On splitting 119 further and writing it as multiples of numbers it would be 17 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 57120. 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 57120. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 as it results in 57120 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 57120 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 5, 7, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 57120 ?
Answer: Prime Factors of 57120 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17.
2. What are the Prime Factors of 57120 ?
Answer: Prime Factors of 57120 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17.