Factor Tree of 8004
How to find the Factor Tree of 8004
Given number is 8004
The factor tree of 8004 is as follows:
| 8004 | ||||||||||
| 2 | 4002 | |||||||||
| 2 | 2001 | |||||||||
| 3 | 667 | |||||||||
| 23 | 29 | |||||||||
8004 = 2 x 4002
4002 = 2 x 2001
2001 = 3 x 667
667 = 23 x 29
If we write into multiples it would be 8004 x 2
On splitting 4002 further and writing it as multiples of numbers it would be 2001 x 2.
On splitting 2001 further and writing it as multiples of numbers it would be 667 x 3.
On splitting 667 further and writing it as multiples of numbers it would be 29 x 23.
Factor Tree Calculations
Here are examples of Factor tree calculations.
Ways to Find Factors of 8004
Here we are providing different methods to find the factors of the number 8004. 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 8004. Let’s start with 2 x 2 x 3 x 23 x 29 as it results in 8004 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 8004 now and we can write as 2 x 2 x 3 x 23 x 29 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 23, 29 obtained here are also prime numbers and we will end up these branches.
FAQ on 8004 Factor Tree
1. What is factor tree for 8004 ?
Answer: Prime Factors of 8004 are 2 x 2 x 3 x 23 x 29.
2. What are the Prime Factors of 8004 ?
Answer: Prime Factors of 8004 are 2 x 2 x 3 x 23 x 29.