Given number is 20400
The factor tree of 20400 is as follows:
| 20400 | |||||||||||||
| 2 | 10200 | ||||||||||||
| 2 | 5100 | ||||||||||||
| 2 | 2550 | ||||||||||||
| 2 | 1275 | ||||||||||||
| 3 | 425 | ||||||||||||
| 5 | 85 | ||||||||||||
| 5 | 17 | ||||||||||||
20400 = 2 x 10200
10200 = 2 x 5100
5100 = 2 x 2550
2550 = 2 x 1275
1275 = 3 x 425
425 = 5 x 85
85 = 5 x 17
If we write into multiples it would be 20400 x 2
On splitting 10200 further and writing it as multiples of numbers it would be 5100 x 2.
On splitting 5100 further and writing it as multiples of numbers it would be 2550 x 2.
On splitting 2550 further and writing it as multiples of numbers it would be 1275 x 2.
On splitting 1275 further and writing it as multiples of numbers it would be 425 x 3.
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 20400. 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 20400. Let’s start with 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 as it results in 20400 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 20400 now and we can write as 2 x 2 x 2 x 2 x 3 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, 3, 5, 5, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 20400 ?
Answer: Prime Factors of 20400 are 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17.
2. What are the Prime Factors of 20400 ?
Answer: Prime Factors of 20400 are 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17.