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Factor Tree of 4005

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


Factor Tree of:

How to find the Factor Tree of 4005

Given number is 4005
The factor tree of 4005 is as follows:


4005
31335
3445
589

4005 = 3 x 1335

1335 = 3 x 445

445 = 5 x 89

If we write into multiples it would be 4005 x 3

On splitting 1335 further and writing it as multiples of numbers it would be 445 x 3.

On splitting 445 further and writing it as multiples of numbers it would be 89 x 5.

Factor Tree Calculations

Ways to Find Factors of 4005

Here we are providing different methods to find the factors of the number 4005. 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 4005. Let’s start with 3 x 3 x 5 x 89 as it results in 4005 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 4005 now and we can write as 3 x 3 x 5 x 89 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 3, 5, 89 obtained here are also prime numbers and we will end up these branches.

FAQ on 4005 Factor Tree

1. What is factor tree for 4005 ?

Answer: Prime Factors of 4005 are 3 x 3 x 5 x 89.

2. What are the Prime Factors of 4005 ?

Answer: Prime Factors of 4005 are 3 x 3 x 5 x 89.