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Factor Tree of 10005

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


Factor Tree of:

How to find the Factor Tree of 10005

Given number is 10005
The factor tree of 10005 is as follows:


10005
33335
5667
2329

10005 = 3 x 3335

3335 = 5 x 667

667 = 23 x 29

If we write into multiples it would be 10005 x 3

On splitting 3335 further and writing it as multiples of numbers it would be 667 x 5.

On splitting 667 further and writing it as multiples of numbers it would be 29 x 23.

Factor Tree Calculations

Ways to Find Factors of 10005

Here we are providing different methods to find the factors of the number 10005. 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 10005. Let’s start with 3 x 5 x 23 x 29 as it results in 10005 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 10005 now and we can write as 3 x 5 x 23 x 29 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 5, 23, 29 obtained here are also prime numbers and we will end up these branches.

FAQ on 10005 Factor Tree

1. What is factor tree for 10005 ?

Answer: Prime Factors of 10005 are 3 x 5 x 23 x 29.

2. What are the Prime Factors of 10005 ?

Answer: Prime Factors of 10005 are 3 x 5 x 23 x 29.