Factor Tree of 2002

Given number is 2002
The factor tree of 2002 is as follows:

	2002
2		1001
	7		143
		11		13

2002 = 2 x 1001

1001 = 7 x 143

143 = 11 x 13

If we write into multiples it would be 2002 x 2

On splitting 1001 further and writing it as multiples of numbers it would be 143 x 7.

On splitting 143 further and writing it as multiples of numbers it would be 13 x 11.

Here are examples of Factor tree calculations.

• Factor Tree of 2052
• Factor Tree of 2102
• Factor Tree of 2152
• Factor Tree of 2202
• Factor Tree of 2252

Here we are providing different methods to find the factors of the number 2002. 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 2002. Let’s start with 2 x 7 x 11 x 13 as it results in 2002 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 2002 now and we can write as 2 x 7 x 11 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 7, 11, 13 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 2002 ?

Answer: Prime Factors of 2002 are 2 x 7 x 11 x 13.

2. What are the Prime Factors of 2002 ?

Answer: Prime Factors of 2002 are 2 x 7 x 11 x 13.