Factor Tree of 256

Given number is 256
The factor tree of 256 is as follows:

	256
2		128
	2		64
		2		32
			2		16
				2		8
					2		4
						2		2

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 256 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 258
• Factor Tree of 260
• Factor Tree of 262
• Factor Tree of 264
• Factor Tree of 266

Here we are providing different methods to find the factors of the number 256. 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 256. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 as it results in 256 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 256 now and we can write as 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 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 256 ?

Answer: Prime Factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2.

2. What are the Prime Factors of 256 ?

Answer: Prime Factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2.