Given number is 45120
The factor tree of 45120 is as follows:
| 45120 | ||||||||||||||
| 2 | 22560 | |||||||||||||
| 2 | 11280 | |||||||||||||
| 2 | 5640 | |||||||||||||
| 2 | 2820 | |||||||||||||
| 2 | 1410 | |||||||||||||
| 2 | 705 | |||||||||||||
| 3 | 235 | |||||||||||||
| 5 | 47 | |||||||||||||
45120 = 2 x 22560
22560 = 2 x 11280
11280 = 2 x 5640
5640 = 2 x 2820
2820 = 2 x 1410
1410 = 2 x 705
705 = 3 x 235
235 = 5 x 47
If we write into multiples it would be 45120 x 2
On splitting 22560 further and writing it as multiples of numbers it would be 11280 x 2.
On splitting 11280 further and writing it as multiples of numbers it would be 5640 x 2.
On splitting 5640 further and writing it as multiples of numbers it would be 2820 x 2.
On splitting 2820 further and writing it as multiples of numbers it would be 1410 x 2.
On splitting 1410 further and writing it as multiples of numbers it would be 705 x 2.
On splitting 705 further and writing it as multiples of numbers it would be 235 x 3.
On splitting 235 further and writing it as multiples of numbers it would be 47 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 45120. 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 45120. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 47 as it results in 45120 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 45120 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 47 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 5, 47 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 45120 ?
Answer: Prime Factors of 45120 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 47.
2. What are the Prime Factors of 45120 ?
Answer: Prime Factors of 45120 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 47.