Factor Tree of 9504

Given number is 9504
The factor tree of 9504 is as follows:

9504 = 2 x 4752

4752 = 2 x 2376

2376 = 2 x 1188

1188 = 2 x 594

594 = 2 x 297

297 = 3 x 99

99 = 3 x 33

33 = 3 x 11

If we write into multiples it would be 9504 x 2

On splitting 4752 further and writing it as multiples of numbers it would be 2376 x 2.

On splitting 2376 further and writing it as multiples of numbers it would be 1188 x 2.

On splitting 1188 further and writing it as multiples of numbers it would be 594 x 2.

On splitting 594 further and writing it as multiples of numbers it would be 297 x 2.

On splitting 297 further and writing it as multiples of numbers it would be 99 x 3.

On splitting 99 further and writing it as multiples of numbers it would be 33 x 3.

On splitting 33 further and writing it as multiples of numbers it would be 11 x 3.

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Here we are providing different methods to find the factors of the number 9504. 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 9504. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 as it results in 9504 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 9504 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 3, 3, 11 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 9504 ?

Answer: Prime Factors of 9504 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11.

2. What are the Prime Factors of 9504 ?

Answer: Prime Factors of 9504 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11.