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Factor Tree of 5005

Created By : Bhagya
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Factor Tree of:

How to find the Factor Tree of 5005

Given number is 5005
The factor tree of 5005 is as follows:


5005
51001
7143
1113

5005 = 5 x 1001

1001 = 7 x 143

143 = 11 x 13

If we write into multiples it would be 5005 x 5

On splitting 1001 further and writing it as multiples of numbers it would be 143 x 7.

On splitting 143 further and writing it as multiples of numbers it would be 13 x 11.

Factor Tree Calculations

Ways to Find Factors of 5005

Here we are providing different methods to find the factors of the number 5005. 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 5005. Let’s start with 5 x 7 x 11 x 13 as it results in 5005 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 5005 now and we can write as 5 x 7 x 11 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 5, 7, 11, 13 obtained here are also prime numbers and we will end up these branches.

FAQ on 5005 Factor Tree

1. What is factor tree for 5005 ?

Answer: Prime Factors of 5005 are 5 x 7 x 11 x 13.

2. What are the Prime Factors of 5005 ?

Answer: Prime Factors of 5005 are 5 x 7 x 11 x 13.