Factor Tree of 1472

Given number is 1472
The factor tree of 1472 is as follows:

	1472
2		736
	2		368
		2		184
			2		92
				2		46
					2		23

1472 = 2 x 736

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 1472 x 2

On splitting 736 further and writing it as multiples of numbers it would be 368 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 1522
• Factor Tree of 1572
• Factor Tree of 1622
• Factor Tree of 1672
• Factor Tree of 1722

Here we are providing different methods to find the factors of the number 1472. 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 1472. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 23 as it results in 1472 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 1472 now and we can write as 2 x 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, 2, 23 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 1472 ?

Answer: Prime Factors of 1472 are 2 x 2 x 2 x 2 x 2 x 2 x 23.

2. What are the Prime Factors of 1472 ?

Answer: Prime Factors of 1472 are 2 x 2 x 2 x 2 x 2 x 2 x 23.