Factor Tree of 648

Given number is 648
The factor tree of 648 is as follows:

	648
2		324
	2		162
		2		81
			3		27
				3		9
					3		3

648 = 2 x 324

324 = 2 x 162

162 = 2 x 81

81 = 3 x 27

27 = 3 x 9

9 = 3 x 3

If we write into multiples it would be 648 x 2

On splitting 324 further and writing it as multiples of numbers it would be 162 x 2.

On splitting 162 further and writing it as multiples of numbers it would be 81 x 2.

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 653
• Factor Tree of 658
• Factor Tree of 663
• Factor Tree of 668
• Factor Tree of 673

Here we are providing different methods to find the factors of the number 648. 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 648. Let’s start with 2 x 2 x 2 x 3 x 3 x 3 x 3 as it results in 648 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 648 now and we can write as 2 x 2 x 2 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, 2, 3, 3, 3, 3 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 648 ?

Answer: Prime Factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3.

2. What are the Prime Factors of 648 ?

Answer: Prime Factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3.