Factor Tree of 768

Given number is 768
The factor tree of 768 is as follows:

	768
2		384
	2		192
		2		96
			2		48
				2		24
					2		12
						2		6
							2		3

768 = 2 x 384

384 = 2 x 192

192 = 2 x 96

96 = 2 x 48

48 = 2 x 24

24 = 2 x 12

12 = 2 x 6

6 = 2 x 3

If we write into multiples it would be 768 x 2

On splitting 384 further and writing it as multiples of numbers it would be 192 x 2.

On splitting 192 further and writing it as multiples of numbers it would be 96 x 2.

On splitting 96 further and writing it as multiples of numbers it would be 48 x 2.

On splitting 48 further and writing it as multiples of numbers it would be 24 x 2.

On splitting 24 further and writing it as multiples of numbers it would be 12 x 2.

On splitting 12 further and writing it as multiples of numbers it would be 6 x 2.

On splitting 6 further and writing it as multiples of numbers it would be 3 x 2.

Here are examples of Factor tree calculations.

• Factor Tree of 773
• Factor Tree of 778
• Factor Tree of 783
• Factor Tree of 788
• Factor Tree of 793

Here we are providing different methods to find the factors of the number 768. 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 768. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 as it results in 768 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 768 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 2, 3 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 768 ?

Answer: Prime Factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3.

2. What are the Prime Factors of 768 ?

Answer: Prime Factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3.