Given number is 3312
The factor tree of 3312 is as follows:
| 3312 | ||||||||||||
| 2 | 1656 | |||||||||||
| 2 | 828 | |||||||||||
| 2 | 414 | |||||||||||
| 2 | 207 | |||||||||||
| 3 | 69 | |||||||||||
| 3 | 23 | |||||||||||
3312 = 2 x 1656
1656 = 2 x 828
828 = 2 x 414
414 = 2 x 207
207 = 3 x 69
69 = 3 x 23
If we write into multiples it would be 3312 x 2
On splitting 1656 further and writing it as multiples of numbers it would be 828 x 2.
On splitting 828 further and writing it as multiples of numbers it would be 414 x 2.
On splitting 414 further and writing it as multiples of numbers it would be 207 x 2.
On splitting 207 further and writing it as multiples of numbers it would be 69 x 3.
On splitting 69 further and writing it as multiples of numbers it would be 23 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 3312. 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 3312. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 23 as it results in 3312 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 3312 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 23 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 23 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 3312 ?
Answer: Prime Factors of 3312 are 2 x 2 x 2 x 2 x 3 x 3 x 23.
2. What are the Prime Factors of 3312 ?
Answer: Prime Factors of 3312 are 2 x 2 x 2 x 2 x 3 x 3 x 23.