Factor Tree of 736

Given number is 736
The factor tree of 736 is as follows:

	736
2		368
	2		184
		2		92
			2		46
				2		23

736 = 2 x 368

368 = 2 x 184

184 = 2 x 92

92 = 2 x 46

46 = 2 x 23

If we write into multiples it would be 736 x 2

On splitting 368 further and writing it as multiples of numbers it would be 184 x 2.

On splitting 184 further and writing it as multiples of numbers it would be 92 x 2.

On splitting 92 further and writing it as multiples of numbers it would be 46 x 2.

On splitting 46 further and writing it as multiples of numbers it would be 23 x 2.

Here are examples of Factor tree calculations.

• Factor Tree of 741
• Factor Tree of 746
• Factor Tree of 751
• Factor Tree of 756
• Factor Tree of 761

Here we are providing different methods to find the factors of the number 736. 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 736. Let’s start with 2 x 2 x 2 x 2 x 2 x 23 as it results in 736 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 736 now and we can write as 2 x 2 x 2 x 2 x 2 x 23 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 23 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 736 ?

Answer: Prime Factors of 736 are 2 x 2 x 2 x 2 x 2 x 23.

2. What are the Prime Factors of 736 ?

Answer: Prime Factors of 736 are 2 x 2 x 2 x 2 x 2 x 23.