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Factor Tree of 10004

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


Factor Tree of:

How to find the Factor Tree of 10004

Given number is 10004
The factor tree of 10004 is as follows:


10004
25002
22501
4161

10004 = 2 x 5002

5002 = 2 x 2501

2501 = 41 x 61

If we write into multiples it would be 10004 x 2

On splitting 5002 further and writing it as multiples of numbers it would be 2501 x 2.

On splitting 2501 further and writing it as multiples of numbers it would be 61 x 41.

Factor Tree Calculations

Ways to Find Factors of 10004

Here we are providing different methods to find the factors of the number 10004. 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 10004. Let’s start with 2 x 2 x 41 x 61 as it results in 10004 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 10004 now and we can write as 2 x 2 x 41 x 61 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 41, 61 obtained here are also prime numbers and we will end up these branches.

FAQ on 10004 Factor Tree

1. What is factor tree for 10004 ?

Answer: Prime Factors of 10004 are 2 x 2 x 41 x 61.

2. What are the Prime Factors of 10004 ?

Answer: Prime Factors of 10004 are 2 x 2 x 41 x 61.