Given number is 3264
The factor tree of 3264 is as follows:
| 3264 | |||||||||||||
| 2 | 1632 | ||||||||||||
| 2 | 816 | ||||||||||||
| 2 | 408 | ||||||||||||
| 2 | 204 | ||||||||||||
| 2 | 102 | ||||||||||||
| 2 | 51 | ||||||||||||
| 3 | 17 | ||||||||||||
3264 = 2 x 1632
1632 = 2 x 816
816 = 2 x 408
408 = 2 x 204
204 = 2 x 102
102 = 2 x 51
51 = 3 x 17
If we write into multiples it would be 3264 x 2
On splitting 1632 further and writing it as multiples of numbers it would be 816 x 2.
On splitting 816 further and writing it as multiples of numbers it would be 408 x 2.
On splitting 408 further and writing it as multiples of numbers it would be 204 x 2.
On splitting 204 further and writing it as multiples of numbers it would be 102 x 2.
On splitting 102 further and writing it as multiples of numbers it would be 51 x 2.
On splitting 51 further and writing it as multiples of numbers it would be 17 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 3264. 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 3264. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 as it results in 3264 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 3264 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 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, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 3264 ?
Answer: Prime Factors of 3264 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17.
2. What are the Prime Factors of 3264 ?
Answer: Prime Factors of 3264 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17.