Given number is 16320
The factor tree of 16320 is as follows:
| 16320 | ||||||||||||||
| 2 | 8160 | |||||||||||||
| 2 | 4080 | |||||||||||||
| 2 | 2040 | |||||||||||||
| 2 | 1020 | |||||||||||||
| 2 | 510 | |||||||||||||
| 2 | 255 | |||||||||||||
| 3 | 85 | |||||||||||||
| 5 | 17 | |||||||||||||
16320 = 2 x 8160
8160 = 2 x 4080
4080 = 2 x 2040
2040 = 2 x 1020
1020 = 2 x 510
510 = 2 x 255
255 = 3 x 85
85 = 5 x 17
If we write into multiples it would be 16320 x 2
On splitting 8160 further and writing it as multiples of numbers it would be 4080 x 2.
On splitting 4080 further and writing it as multiples of numbers it would be 2040 x 2.
On splitting 2040 further and writing it as multiples of numbers it would be 1020 x 2.
On splitting 1020 further and writing it as multiples of numbers it would be 510 x 2.
On splitting 510 further and writing it as multiples of numbers it would be 255 x 2.
On splitting 255 further and writing it as multiples of numbers it would be 85 x 3.
On splitting 85 further and writing it as multiples of numbers it would be 17 x 5.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 16320. 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 16320. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 as it results in 16320 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 16320 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 5, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 16320 ?
Answer: Prime Factors of 16320 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17.
2. What are the Prime Factors of 16320 ?
Answer: Prime Factors of 16320 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17.