Given number is 225120
The factor tree of 225120 is as follows:
| 225120 | ||||||||||||||
| 2 | 112560 | |||||||||||||
| 2 | 56280 | |||||||||||||
| 2 | 28140 | |||||||||||||
| 2 | 14070 | |||||||||||||
| 2 | 7035 | |||||||||||||
| 3 | 2345 | |||||||||||||
| 5 | 469 | |||||||||||||
| 7 | 67 | |||||||||||||
225120 = 2 x 112560
112560 = 2 x 56280
56280 = 2 x 28140
28140 = 2 x 14070
14070 = 2 x 7035
7035 = 3 x 2345
2345 = 5 x 469
469 = 7 x 67
If we write into multiples it would be 225120 x 2
On splitting 112560 further and writing it as multiples of numbers it would be 56280 x 2.
On splitting 56280 further and writing it as multiples of numbers it would be 28140 x 2.
On splitting 28140 further and writing it as multiples of numbers it would be 14070 x 2.
On splitting 14070 further and writing it as multiples of numbers it would be 7035 x 2.
On splitting 7035 further and writing it as multiples of numbers it would be 2345 x 3.
On splitting 2345 further and writing it as multiples of numbers it would be 469 x 5.
On splitting 469 further and writing it as multiples of numbers it would be 67 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 225120. 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 225120. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 67 as it results in 225120 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 225120 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 67 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 5, 7, 67 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 225120 ?
Answer: Prime Factors of 225120 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 67.
2. What are the Prime Factors of 225120 ?
Answer: Prime Factors of 225120 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 67.