Given number is 27200
The factor tree of 27200 is as follows:
| 27200 | ||||||||||||||
| 2 | 13600 | |||||||||||||
| 2 | 6800 | |||||||||||||
| 2 | 3400 | |||||||||||||
| 2 | 1700 | |||||||||||||
| 2 | 850 | |||||||||||||
| 2 | 425 | |||||||||||||
| 5 | 85 | |||||||||||||
| 5 | 17 | |||||||||||||
27200 = 2 x 13600
13600 = 2 x 6800
6800 = 2 x 3400
3400 = 2 x 1700
1700 = 2 x 850
850 = 2 x 425
425 = 5 x 85
85 = 5 x 17
If we write into multiples it would be 27200 x 2
On splitting 13600 further and writing it as multiples of numbers it would be 6800 x 2.
On splitting 6800 further and writing it as multiples of numbers it would be 3400 x 2.
On splitting 3400 further and writing it as multiples of numbers it would be 1700 x 2.
On splitting 1700 further and writing it as multiples of numbers it would be 850 x 2.
On splitting 850 further and writing it as multiples of numbers it would be 425 x 2.
On splitting 425 further and writing it as multiples of numbers it would be 85 x 5.
On splitting 85 further and writing it as multiples of numbers it would be 17 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 27200. 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 27200. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 17 as it results in 27200 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 27200 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 5, 5, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 27200 ?
Answer: Prime Factors of 27200 are 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 17.
2. What are the Prime Factors of 27200 ?
Answer: Prime Factors of 27200 are 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 17.