Factor Tree of 288

Given number is 288
The factor tree of 288 is as follows:

	288
2		144
	2		72
		2		36
			2		18
				2		9
					3		3

288 = 2 x 144

144 = 2 x 72

72 = 2 x 36

36 = 2 x 18

18 = 2 x 9

9 = 3 x 3

If we write into multiples it would be 288 x 2

On splitting 144 further and writing it as multiples of numbers it would be 72 x 2.

On splitting 72 further and writing it as multiples of numbers it would be 36 x 2.

On splitting 36 further and writing it as multiples of numbers it would be 18 x 2.

On splitting 18 further and writing it as multiples of numbers it would be 9 x 2.

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 290
• Factor Tree of 292
• Factor Tree of 294
• Factor Tree of 296
• Factor Tree of 298

Here we are providing different methods to find the factors of the number 288. 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 288. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 3 as it results in 288 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 288 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 3 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 3 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 288 ?

Answer: Prime Factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3.

2. What are the Prime Factors of 288 ?

Answer: Prime Factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3.