Given number is 720
The factor tree of 720 is as follows:
720 | ||||||||||||
2 | 360 | |||||||||||
2 | 180 | |||||||||||
2 | 90 | |||||||||||
2 | 45 | |||||||||||
3 | 15 | |||||||||||
3 | 5 | |||||||||||
720 = 2 x 360
360 = 2 x 180
180 = 2 x 90
90 = 2 x 45
45 = 3 x 15
15 = 3 x 5
If we write into multiples it would be 720 x 2
On splitting 360 further and writing it as multiples of numbers it would be 180 x 2.
On splitting 180 further and writing it as multiples of numbers it would be 90 x 2.
On splitting 90 further and writing it as multiples of numbers it would be 45 x 2.
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 720. 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 720. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 5 as it results in 720 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 720 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 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 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 720 ?
Answer: Prime Factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5.
2. What are the Prime Factors of 720 ?
Answer: Prime Factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5.