Factor Tree of 900

Given number is 900
The factor tree of 900 is as follows:

	900
2		450
	2		225
		3		75
			3		25
				5		5

900 = 2 x 450

450 = 2 x 225

225 = 3 x 75

75 = 3 x 25

25 = 5 x 5

If we write into multiples it would be 900 x 2

On splitting 450 further and writing it as multiples of numbers it would be 225 x 2.

On splitting 225 further and writing it as multiples of numbers it would be 75 x 3.

On splitting 75 further and writing it as multiples of numbers it would be 25 x 3.

On splitting 25 further and writing it as multiples of numbers it would be 5 x 5.

Here are examples of Factor tree calculations.

• Factor Tree of 905
• Factor Tree of 910
• Factor Tree of 915
• Factor Tree of 920
• Factor Tree of 925

Here we are providing different methods to find the factors of the number 900. 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 900. Let’s start with 2 x 2 x 3 x 3 x 5 x 5 as it results in 900 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 900 now and we can write as 2 x 2 x 3 x 3 x 5 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 5, 5 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 900 ?

Answer: Prime Factors of 900 are 2 x 2 x 3 x 3 x 5 x 5.

2. What are the Prime Factors of 900 ?

Answer: Prime Factors of 900 are 2 x 2 x 3 x 3 x 5 x 5.