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Factor Tree of 585

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


Factor Tree of:

How to find the Factor Tree of 585

Given number is 585
The factor tree of 585 is as follows:


585
3195
365
513
Factors of 585

585 = 3 x 195

195 = 3 x 65

65 = 5 x 13

If we write into multiples it would be 585 x 3

On splitting 195 further and writing it as multiples of numbers it would be 65 x 3.

On splitting 65 further and writing it as multiples of numbers it would be 13 x 5.

Factor Tree Calculations

Ways to Find Factors of 585

Here we are providing different methods to find the factors of the number 585. 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 585. Let’s start with 3 x 3 x 5 x 13 as it results in 585 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 585 now and we can write as 3 x 3 x 5 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 3, 5, 13 obtained here are also prime numbers and we will end up these branches.

FAQ on 585 Factor Tree

1. What is factor tree for 585 ?

Answer: Prime Factors of 585 are 3 x 3 x 5 x 13.

2. What are the Prime Factors of 585 ?

Answer: Prime Factors of 585 are 3 x 3 x 5 x 13.