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Factor Tree of 3825

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


Factor Tree of:

How to find the Factor Tree of 3825

Given number is 3825
The factor tree of 3825 is as follows:


3825
31275
3425
585
517

3825 = 3 x 1275

1275 = 3 x 425

425 = 5 x 85

85 = 5 x 17

If we write into multiples it would be 3825 x 3

On splitting 1275 further and writing it as multiples of numbers it would be 425 x 3.

On splitting 425 further and writing it as multiples of numbers it would be 85 x 5.

On splitting 85 further and writing it as multiples of numbers it would be 17 x 5.

Factor Tree Calculations

Ways to Find Factors of 3825

Here we are providing different methods to find the factors of the number 3825. 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 3825. Let’s start with 3 x 3 x 5 x 5 x 17 as it results in 3825 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 3825 now and we can write as 3 x 3 x 5 x 5 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 3, 5, 5, 17 obtained here are also prime numbers and we will end up these branches.

FAQ on 3825 Factor Tree

1. What is factor tree for 3825 ?

Answer: Prime Factors of 3825 are 3 x 3 x 5 x 5 x 17.

2. What are the Prime Factors of 3825 ?

Answer: Prime Factors of 3825 are 3 x 3 x 5 x 5 x 17.