Factor Tree of 728

Given number is 728
The factor tree of 728 is as follows:

	728
2		364
	2		182
		2		91
			7		13

728 = 2 x 364

364 = 2 x 182

182 = 2 x 91

91 = 7 x 13

If we write into multiples it would be 728 x 2

On splitting 364 further and writing it as multiples of numbers it would be 182 x 2.

On splitting 182 further and writing it as multiples of numbers it would be 91 x 2.

On splitting 91 further and writing it as multiples of numbers it would be 13 x 7.

Here are examples of Factor tree calculations.

• Factor Tree of 733
• Factor Tree of 738
• Factor Tree of 743
• Factor Tree of 748
• Factor Tree of 753

Here we are providing different methods to find the factors of the number 728. 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 728. Let’s start with 2 x 2 x 2 x 7 x 13 as it results in 728 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 728 now and we can write as 2 x 2 x 2 x 7 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 7, 13 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 728 ?

Answer: Prime Factors of 728 are 2 x 2 x 2 x 7 x 13.

2. What are the Prime Factors of 728 ?

Answer: Prime Factors of 728 are 2 x 2 x 2 x 7 x 13.