Factor Tree of 4000

Given number is 4000
The factor tree of 4000 is as follows:

4000 = 2 x 2000

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 4000 x 2

On splitting 2000 further and writing it as multiples of numbers it would be 1000 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 4100
• Factor Tree of 4200
• Factor Tree of 4300
• Factor Tree of 4400
• Factor Tree of 4500

Here we are providing different methods to find the factors of the number 4000. 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 4000. Let’s start with 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 as it results in 4000 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 4000 now and we can write as 2 x 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, 2, 5, 5, 5 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 4000 ?

Answer: Prime Factors of 4000 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5.

2. What are the Prime Factors of 4000 ?

Answer: Prime Factors of 4000 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5.