Factor Tree of 5000

Given number is 5000
The factor tree of 5000 is as follows:

5000 = 2 x 2500

2500 = 2 x 1250

1250 = 2 x 625

625 = 5 x 125

125 = 5 x 25

25 = 5 x 5

If we write into multiples it would be 5000 x 2

On splitting 2500 further and writing it as multiples of numbers it would be 1250 x 2.

On splitting 1250 further and writing it as multiples of numbers it would be 625 x 2.

On splitting 625 further and writing it as multiples of numbers it would be 125 x 5.

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 5100
• Factor Tree of 5200
• Factor Tree of 5300
• Factor Tree of 5400
• Factor Tree of 5500

Here we are providing different methods to find the factors of the number 5000. 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 5000. Let’s start with 2 x 2 x 2 x 5 x 5 x 5 x 5 as it results in 5000 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 5000 now and we can write as 2 x 2 x 2 x 5 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, 5, 5, 5, 5 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 5000 ?

Answer: Prime Factors of 5000 are 2 x 2 x 2 x 5 x 5 x 5 x 5.

2. What are the Prime Factors of 5000 ?

Answer: Prime Factors of 5000 are 2 x 2 x 2 x 5 x 5 x 5 x 5.