Factor Tree of 2000

Given number is 2000
The factor tree of 2000 is as follows:

	2000
2		1000
	2		500
		2		250
			2		125
				5		25
					5		5

2000 = 2 x 1000

1000 = 2 x 500

500 = 2 x 250

250 = 2 x 125

125 = 5 x 25

25 = 5 x 5

If we write into multiples it would be 2000 x 2

On splitting 1000 further and writing it as multiples of numbers it would be 500 x 2.

On splitting 500 further and writing it as multiples of numbers it would be 250 x 2.

On splitting 250 further and writing it as multiples of numbers it would be 125 x 2.

On splitting 125 further and writing it as multiples of numbers it would be 25 x 5.

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 2050
• Factor Tree of 2100
• Factor Tree of 2150
• Factor Tree of 2200
• Factor Tree of 2250

Here we are providing different methods to find the factors of the number 2000. 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 2000. Let’s start with 2 x 2 x 2 x 2 x 5 x 5 x 5 as it results in 2000 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 2000 now and we can write as 2 x 2 x 2 x 2 x 5 x 5 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 5, 5, 5 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 2000 ?

Answer: Prime Factors of 2000 are 2 x 2 x 2 x 2 x 5 x 5 x 5.

2. What are the Prime Factors of 2000 ?

Answer: Prime Factors of 2000 are 2 x 2 x 2 x 2 x 5 x 5 x 5.