Given number is 21216
The factor tree of 21216 is as follows:
| 21216 | |||||||||||||
| 2 | 10608 | ||||||||||||
| 2 | 5304 | ||||||||||||
| 2 | 2652 | ||||||||||||
| 2 | 1326 | ||||||||||||
| 2 | 663 | ||||||||||||
| 3 | 221 | ||||||||||||
| 13 | 17 | ||||||||||||
21216 = 2 x 10608
10608 = 2 x 5304
5304 = 2 x 2652
2652 = 2 x 1326
1326 = 2 x 663
663 = 3 x 221
221 = 13 x 17
If we write into multiples it would be 21216 x 2
On splitting 10608 further and writing it as multiples of numbers it would be 5304 x 2.
On splitting 5304 further and writing it as multiples of numbers it would be 2652 x 2.
On splitting 2652 further and writing it as multiples of numbers it would be 1326 x 2.
On splitting 1326 further and writing it as multiples of numbers it would be 663 x 2.
On splitting 663 further and writing it as multiples of numbers it would be 221 x 3.
On splitting 221 further and writing it as multiples of numbers it would be 17 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 21216. 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 21216. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 13 x 17 as it results in 21216 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 21216 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 13 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 13, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 21216 ?
Answer: Prime Factors of 21216 are 2 x 2 x 2 x 2 x 2 x 3 x 13 x 17.
2. What are the Prime Factors of 21216 ?
Answer: Prime Factors of 21216 are 2 x 2 x 2 x 2 x 2 x 3 x 13 x 17.