Factor Tree of 2048

Given number is 2048
The factor tree of 2048 is as follows:

	2048
2		1024
	2		512
		2		256
			2		128
				2		64
					2		32
						2		16
							2		8
								2		4
									2		2

2048 = 2 x 1024

1024 = 2 x 512

512 = 2 x 256

256 = 2 x 128

128 = 2 x 64

64 = 2 x 32

32 = 2 x 16

16 = 2 x 8

8 = 2 x 4

4 = 2 x 2

If we write into multiples it would be 2048 x 2

On splitting 1024 further and writing it as multiples of numbers it would be 512 x 2.

On splitting 512 further and writing it as multiples of numbers it would be 256 x 2.

On splitting 256 further and writing it as multiples of numbers it would be 128 x 2.

On splitting 128 further and writing it as multiples of numbers it would be 64 x 2.

On splitting 64 further and writing it as multiples of numbers it would be 32 x 2.

On splitting 32 further and writing it as multiples of numbers it would be 16 x 2.

On splitting 16 further and writing it as multiples of numbers it would be 8 x 2.

On splitting 8 further and writing it as multiples of numbers it would be 4 x 2.

On splitting 4 further and writing it as multiples of numbers it would be 2 x 2.

Here are examples of Factor tree calculations.

• Factor Tree of 2098
• Factor Tree of 2148
• Factor Tree of 2198
• Factor Tree of 2248
• Factor Tree of 2298

Here we are providing different methods to find the factors of the number 2048. 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 2048. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 as it results in 2048 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 2048 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 2048 ?

Answer: Prime Factors of 2048 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2.

2. What are the Prime Factors of 2048 ?

Answer: Prime Factors of 2048 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2.