Given number is 540
The factor tree of 540 is as follows:
540 | |||||||||||
2 | 270 | ||||||||||
2 | 135 | ||||||||||
3 | 45 | ||||||||||
3 | 15 | ||||||||||
3 | 5 | ||||||||||
540 = 2 x 270
270 = 2 x 135
135 = 3 x 45
45 = 3 x 15
15 = 3 x 5
If we write into multiples it would be 540 x 2
On splitting 270 further and writing it as multiples of numbers it would be 135 x 2.
On splitting 135 further and writing it as multiples of numbers it would be 45 x 3.
On splitting 45 further and writing it as multiples of numbers it would be 15 x 3.
On splitting 15 further and writing it as multiples of numbers it would be 5 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 540. 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 540. Let’s start with 2 x 2 x 3 x 3 x 3 x 5 as it results in 540 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 540 now and we can write as 2 x 2 x 3 x 3 x 3 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 3, 5 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 540 ?
Answer: Prime Factors of 540 are 2 x 2 x 3 x 3 x 3 x 5.
2. What are the Prime Factors of 540 ?
Answer: Prime Factors of 540 are 2 x 2 x 3 x 3 x 3 x 5.