Factor Tree of 9072

Given number is 9072
The factor tree of 9072 is as follows:

9072 = 2 x 4536

4536 = 2 x 2268

2268 = 2 x 1134

1134 = 2 x 567

567 = 3 x 189

189 = 3 x 63

63 = 3 x 21

21 = 3 x 7

If we write into multiples it would be 9072 x 2

On splitting 4536 further and writing it as multiples of numbers it would be 2268 x 2.

On splitting 2268 further and writing it as multiples of numbers it would be 1134 x 2.

On splitting 1134 further and writing it as multiples of numbers it would be 567 x 2.

On splitting 567 further and writing it as multiples of numbers it would be 189 x 3.

On splitting 189 further and writing it as multiples of numbers it would be 63 x 3.

On splitting 63 further and writing it as multiples of numbers it would be 21 x 3.

On splitting 21 further and writing it as multiples of numbers it would be 7 x 3.

Here are examples of Factor tree calculations.

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Here we are providing different methods to find the factors of the number 9072. 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 9072. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 as it results in 9072 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 9072 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 3, 3, 7 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 9072 ?

Answer: Prime Factors of 9072 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7.

2. What are the Prime Factors of 9072 ?

Answer: Prime Factors of 9072 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7.