Factor Tree of 972

Given number is 972
The factor tree of 972 is as follows:

	972
2		486
	2		243
		3		81
			3		27
				3		9
					3		3

972 = 2 x 486

486 = 2 x 243

243 = 3 x 81

81 = 3 x 27

27 = 3 x 9

9 = 3 x 3

If we write into multiples it would be 972 x 2

On splitting 486 further and writing it as multiples of numbers it would be 243 x 2.

On splitting 243 further and writing it as multiples of numbers it would be 81 x 3.

On splitting 81 further and writing it as multiples of numbers it would be 27 x 3.

On splitting 27 further and writing it as multiples of numbers it would be 9 x 3.

On splitting 9 further and writing it as multiples of numbers it would be 3 x 3.

Here are examples of Factor tree calculations.

• Factor Tree of 977
• Factor Tree of 982
• Factor Tree of 987
• Factor Tree of 992
• Factor Tree of 997

Here we are providing different methods to find the factors of the number 972. 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 972. Let’s start with 2 x 2 x 3 x 3 x 3 x 3 x 3 as it results in 972 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 972 now and we can write as 2 x 2 x 3 x 3 x 3 x 3 x 3 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 3, 3, 3 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 972 ?

Answer: Prime Factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3.

2. What are the Prime Factors of 972 ?

Answer: Prime Factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3.