Given number is 16400
The factor tree of 16400 is as follows:
| 16400 | ||||||||||||
| 2 | 8200 | |||||||||||
| 2 | 4100 | |||||||||||
| 2 | 2050 | |||||||||||
| 2 | 1025 | |||||||||||
| 5 | 205 | |||||||||||
| 5 | 41 | |||||||||||
16400 = 2 x 8200
8200 = 2 x 4100
4100 = 2 x 2050
2050 = 2 x 1025
1025 = 5 x 205
205 = 5 x 41
If we write into multiples it would be 16400 x 2
On splitting 8200 further and writing it as multiples of numbers it would be 4100 x 2.
On splitting 4100 further and writing it as multiples of numbers it would be 2050 x 2.
On splitting 2050 further and writing it as multiples of numbers it would be 1025 x 2.
On splitting 1025 further and writing it as multiples of numbers it would be 205 x 5.
On splitting 205 further and writing it as multiples of numbers it would be 41 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 16400. 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 16400. Let’s start with 2 x 2 x 2 x 2 x 5 x 5 x 41 as it results in 16400 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 16400 now and we can write as 2 x 2 x 2 x 2 x 5 x 5 x 41 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 5, 5, 41 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 16400 ?
Answer: Prime Factors of 16400 are 2 x 2 x 2 x 2 x 5 x 5 x 41.
2. What are the Prime Factors of 16400 ?
Answer: Prime Factors of 16400 are 2 x 2 x 2 x 2 x 5 x 5 x 41.