Given number is 810
The factor tree of 810 is as follows:
810 | |||||||||||
2 | 405 | ||||||||||
3 | 135 | ||||||||||
3 | 45 | ||||||||||
3 | 15 | ||||||||||
3 | 5 | ||||||||||
810 = 2 x 405
405 = 3 x 135
135 = 3 x 45
45 = 3 x 15
15 = 3 x 5
If we write into multiples it would be 810 x 2
On splitting 405 further and writing it as multiples of numbers it would be 135 x 3.
On splitting 135 further and writing it as multiples of numbers it would be 45 x 3.
On splitting 45 further and writing it as multiples of numbers it would be 15 x 3.
On splitting 15 further and writing it as multiples of numbers it would be 5 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 810. 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 810. Let’s start with 2 x 3 x 3 x 3 x 3 x 5 as it results in 810 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 810 now and we can write as 2 x 3 x 3 x 3 x 3 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 3, 3, 3, 3, 5 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 810 ?
Answer: Prime Factors of 810 are 2 x 3 x 3 x 3 x 3 x 5.
2. What are the Prime Factors of 810 ?
Answer: Prime Factors of 810 are 2 x 3 x 3 x 3 x 3 x 5.