Factor Tree of 504

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

	504
2		252
	2		126
		2		63
			3		21
				3		7

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.

Here are examples of Factor tree calculations.

• Factor Tree of 509
• Factor Tree of 514
• Factor Tree of 519
• Factor Tree of 524
• Factor Tree of 529

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.

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.