Factor Tree of 25200

Given number is 25200
The factor tree of 25200 is as follows:

25200 = 2 x 12600

12600 = 2 x 6300

6300 = 2 x 3150

3150 = 2 x 1575

1575 = 3 x 525

525 = 3 x 175

175 = 5 x 35

35 = 5 x 7

If we write into multiples it would be 25200 x 2

On splitting 12600 further and writing it as multiples of numbers it would be 6300 x 2.

On splitting 6300 further and writing it as multiples of numbers it would be 3150 x 2.

On splitting 3150 further and writing it as multiples of numbers it would be 1575 x 2.

On splitting 1575 further and writing it as multiples of numbers it would be 525 x 3.

On splitting 525 further and writing it as multiples of numbers it would be 175 x 3.

On splitting 175 further and writing it as multiples of numbers it would be 35 x 5.

On splitting 35 further and writing it as multiples of numbers it would be 7 x 5.

Here are examples of Factor tree calculations.

• Factor Tree of 26200
• Factor Tree of 27200
• Factor Tree of 28200
• Factor Tree of 29200
• Factor Tree of 30200

Here we are providing different methods to find the factors of the number 25200. 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 25200. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 as it results in 25200 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 25200 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 5, 5, 7 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 25200 ?

Answer: Prime Factors of 25200 are 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7.

2. What are the Prime Factors of 25200 ?

Answer: Prime Factors of 25200 are 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7.