Factor Tree of 1404

Given number is 1404
The factor tree of 1404 is as follows:

	1404
2		702
	2		351
		3		117
			3		39
				3		13

1404 = 2 x 702

702 = 2 x 351

351 = 3 x 117

117 = 3 x 39

39 = 3 x 13

If we write into multiples it would be 1404 x 2

On splitting 702 further and writing it as multiples of numbers it would be 351 x 2.

On splitting 351 further and writing it as multiples of numbers it would be 117 x 3.

On splitting 117 further and writing it as multiples of numbers it would be 39 x 3.

On splitting 39 further and writing it as multiples of numbers it would be 13 x 3.

Here are examples of Factor tree calculations.

• Factor Tree of 1454
• Factor Tree of 1504
• Factor Tree of 1554
• Factor Tree of 1604
• Factor Tree of 1654

Here we are providing different methods to find the factors of the number 1404. 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 1404. Let’s start with 2 x 2 x 3 x 3 x 3 x 13 as it results in 1404 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 1404 now and we can write as 2 x 2 x 3 x 3 x 3 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 3, 13 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 1404 ?

Answer: Prime Factors of 1404 are 2 x 2 x 3 x 3 x 3 x 13.

2. What are the Prime Factors of 1404 ?

Answer: Prime Factors of 1404 are 2 x 2 x 3 x 3 x 3 x 13.