Factor Tree of 1504

Given number is 1504
The factor tree of 1504 is as follows:

	1504
2		752
	2		376
		2		188
			2		94
				2		47

1504 = 2 x 752

752 = 2 x 376

376 = 2 x 188

188 = 2 x 94

94 = 2 x 47

If we write into multiples it would be 1504 x 2

On splitting 752 further and writing it as multiples of numbers it would be 376 x 2.

On splitting 376 further and writing it as multiples of numbers it would be 188 x 2.

On splitting 188 further and writing it as multiples of numbers it would be 94 x 2.

On splitting 94 further and writing it as multiples of numbers it would be 47 x 2.

Here are examples of Factor tree calculations.

• Factor Tree of 1554
• Factor Tree of 1604
• Factor Tree of 1654
• Factor Tree of 1704
• Factor Tree of 1754

Here we are providing different methods to find the factors of the number 1504. 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 1504. Let’s start with 2 x 2 x 2 x 2 x 2 x 47 as it results in 1504 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 1504 now and we can write as 2 x 2 x 2 x 2 x 2 x 47 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 47 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 1504 ?

Answer: Prime Factors of 1504 are 2 x 2 x 2 x 2 x 2 x 47.

2. What are the Prime Factors of 1504 ?

Answer: Prime Factors of 1504 are 2 x 2 x 2 x 2 x 2 x 47.