Given number is 21264
The factor tree of 21264 is as follows:
| 21264 | |||||||||||
| 2 | 10632 | ||||||||||
| 2 | 5316 | ||||||||||
| 2 | 2658 | ||||||||||
| 2 | 1329 | ||||||||||
| 3 | 443 | ||||||||||
21264 = 2 x 10632
10632 = 2 x 5316
5316 = 2 x 2658
2658 = 2 x 1329
1329 = 3 x 443
If we write into multiples it would be 21264 x 2
On splitting 10632 further and writing it as multiples of numbers it would be 5316 x 2.
On splitting 5316 further and writing it as multiples of numbers it would be 2658 x 2.
On splitting 2658 further and writing it as multiples of numbers it would be 1329 x 2.
On splitting 1329 further and writing it as multiples of numbers it would be 443 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 21264. 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 21264. Let’s start with 2 x 2 x 2 x 2 x 3 x 443 as it results in 21264 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 21264 now and we can write as 2 x 2 x 2 x 2 x 3 x 443 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 443 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 21264 ?
Answer: Prime Factors of 21264 are 2 x 2 x 2 x 2 x 3 x 443.
2. What are the Prime Factors of 21264 ?
Answer: Prime Factors of 21264 are 2 x 2 x 2 x 2 x 3 x 443.