Factor Tree of 2400

Given number is 2400
The factor tree of 2400 is as follows:

	2400
2		1200
	2		600
		2		300
			2		150
				2		75
					3		25
						5		5

2400 = 2 x 1200

1200 = 2 x 600

600 = 2 x 300

300 = 2 x 150

150 = 2 x 75

75 = 3 x 25

25 = 5 x 5

If we write into multiples it would be 2400 x 2

On splitting 1200 further and writing it as multiples of numbers it would be 600 x 2.

On splitting 600 further and writing it as multiples of numbers it would be 300 x 2.

On splitting 300 further and writing it as multiples of numbers it would be 150 x 2.

On splitting 150 further and writing it as multiples of numbers it would be 75 x 2.

On splitting 75 further and writing it as multiples of numbers it would be 25 x 3.

On splitting 25 further and writing it as multiples of numbers it would be 5 x 5.

Here are examples of Factor tree calculations.

• Factor Tree of 2450
• Factor Tree of 2500
• Factor Tree of 2550
• Factor Tree of 2600
• Factor Tree of 2650

Here we are providing different methods to find the factors of the number 2400. 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 2400. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 as it results in 2400 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 2400 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 5, 5 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 2400 ?

Answer: Prime Factors of 2400 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5.

2. What are the Prime Factors of 2400 ?

Answer: Prime Factors of 2400 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5.