Factor Tree of 1872

Given number is 1872
The factor tree of 1872 is as follows:

	1872
2		936
	2		468
		2		234
			2		117
				3		39
					3		13

1872 = 2 x 936

936 = 2 x 468

468 = 2 x 234

234 = 2 x 117

117 = 3 x 39

39 = 3 x 13

If we write into multiples it would be 1872 x 2

On splitting 936 further and writing it as multiples of numbers it would be 468 x 2.

On splitting 468 further and writing it as multiples of numbers it would be 234 x 2.

On splitting 234 further and writing it as multiples of numbers it would be 117 x 2.

On splitting 117 further and writing it as multiples of numbers it would be 39 x 3.

On splitting 39 further and writing it as multiples of numbers it would be 13 x 3.

Here are examples of Factor tree calculations.

• Factor Tree of 1922
• Factor Tree of 1972
• Factor Tree of 2022
• Factor Tree of 2072
• Factor Tree of 2122

Here we are providing different methods to find the factors of the number 1872. 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 1872. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 13 as it results in 1872 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 1872 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 13 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 1872 ?

Answer: Prime Factors of 1872 are 2 x 2 x 2 x 2 x 3 x 3 x 13.

2. What are the Prime Factors of 1872 ?

Answer: Prime Factors of 1872 are 2 x 2 x 2 x 2 x 3 x 3 x 13.