Factor Tree of 2004

Given number is 2004
The factor tree of 2004 is as follows:

	2004
2		1002
	2		501
		3		167

2004 = 2 x 1002

1002 = 2 x 501

501 = 3 x 167

If we write into multiples it would be 2004 x 2

On splitting 1002 further and writing it as multiples of numbers it would be 501 x 2.

On splitting 501 further and writing it as multiples of numbers it would be 167 x 3.

Here are examples of Factor tree calculations.

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Here we are providing different methods to find the factors of the number 2004. 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 2004. Let’s start with 2 x 2 x 3 x 167 as it results in 2004 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 2004 now and we can write as 2 x 2 x 3 x 167 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 167 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 2004 ?

Answer: Prime Factors of 2004 are 2 x 2 x 3 x 167.

2. What are the Prime Factors of 2004 ?

Answer: Prime Factors of 2004 are 2 x 2 x 3 x 167.