Factor Tree of 1008

Given number is 1008
The factor tree of 1008 is as follows:

	1008
2		504
	2		252
		2		126
			2		63
				3		21
					3		7

1008 = 2 x 504

504 = 2 x 252

252 = 2 x 126

126 = 2 x 63

63 = 3 x 21

21 = 3 x 7

If we write into multiples it would be 1008 x 2

On splitting 504 further and writing it as multiples of numbers it would be 252 x 2.

On splitting 252 further and writing it as multiples of numbers it would be 126 x 2.

On splitting 126 further and writing it as multiples of numbers it would be 63 x 2.

On splitting 63 further and writing it as multiples of numbers it would be 21 x 3.

On splitting 21 further and writing it as multiples of numbers it would be 7 x 3.

Here are examples of Factor tree calculations.

• Factor Tree of 1058
• Factor Tree of 1108
• Factor Tree of 1158
• Factor Tree of 1208
• Factor Tree of 1258

Here we are providing different methods to find the factors of the number 1008. 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 1008. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 7 as it results in 1008 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 1008 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 7 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 1008 ?

Answer: Prime Factors of 1008 are 2 x 2 x 2 x 2 x 3 x 3 x 7.

2. What are the Prime Factors of 1008 ?

Answer: Prime Factors of 1008 are 2 x 2 x 2 x 2 x 3 x 3 x 7.