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Factor Tree of 504

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


Factor Tree of:

How to find the Factor Tree of 504

Given number is 504
The factor tree of 504 is as follows:


504
2252
2126
263
321
37
Factors of 504

504 = 2 x 252

252 = 2 x 126

126 = 2 x 63

63 = 3 x 21

21 = 3 x 7

If we write into multiples it would be 504 x 2

On splitting 252 further and writing it as multiples of numbers it would be 126 x 2.

On splitting 126 further and writing it as multiples of numbers it would be 63 x 2.

On splitting 63 further and writing it as multiples of numbers it would be 21 x 3.

On splitting 21 further and writing it as multiples of numbers it would be 7 x 3.

Factor Tree Calculations

Ways to Find Factors of 504

Here we are providing different methods to find the factors of the number 504. 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 504. Let’s start with 2 x 2 x 2 x 3 x 3 x 7 as it results in 504 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 504 now and we can write as 2 x 2 x 2 x 3 x 3 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 7 obtained here are also prime numbers and we will end up these branches.

FAQ on 504 Factor Tree

1. What is factor tree for 504 ?

Answer: Prime Factors of 504 are 2 x 2 x 2 x 3 x 3 x 7.

2. What are the Prime Factors of 504 ?

Answer: Prime Factors of 504 are 2 x 2 x 2 x 3 x 3 x 7.