Given number is 800
The factor tree of 800 is as follows:
800 | ||||||||||||
2 | 400 | |||||||||||
2 | 200 | |||||||||||
2 | 100 | |||||||||||
2 | 50 | |||||||||||
2 | 25 | |||||||||||
5 | 5 | |||||||||||
800 = 2 x 400
400 = 2 x 200
200 = 2 x 100
100 = 2 x 50
50 = 2 x 25
25 = 5 x 5
If we write into multiples it would be 800 x 2
On splitting 400 further and writing it as multiples of numbers it would be 200 x 2.
On splitting 200 further and writing it as multiples of numbers it would be 100 x 2.
On splitting 100 further and writing it as multiples of numbers it would be 50 x 2.
On splitting 50 further and writing it as multiples of numbers it would be 25 x 2.
On splitting 25 further and writing it as multiples of numbers it would be 5 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 800. 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 800. Let’s start with 2 x 2 x 2 x 2 x 2 x 5 x 5 as it results in 800 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 800 now and we can write as 2 x 2 x 2 x 2 x 2 x 5 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 5, 5 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 800 ?
Answer: Prime Factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5.
2. What are the Prime Factors of 800 ?
Answer: Prime Factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5.