Given number is 3600
The factor tree of 3600 is as follows:
| 3600 | |||||||||||||
| 2 | 1800 | ||||||||||||
| 2 | 900 | ||||||||||||
| 2 | 450 | ||||||||||||
| 2 | 225 | ||||||||||||
| 3 | 75 | ||||||||||||
| 3 | 25 | ||||||||||||
| 5 | 5 | ||||||||||||
3600 = 2 x 1800
1800 = 2 x 900
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 3600 x 2
On splitting 1800 further and writing it as multiples of numbers it would be 900 x 2.
On splitting 900 further and writing it as multiples of numbers it would be 450 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.
Here we are providing different methods to find the factors of the number 3600. 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 3600. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 as it results in 3600 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 3600 now and we can write as 2 x 2 x 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, 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 3600 ?
Answer: Prime Factors of 3600 are 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5.
2. What are the Prime Factors of 3600 ?
Answer: Prime Factors of 3600 are 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5.