Given number is 3024
The factor tree of 3024 is as follows:
| 3024 | |||||||||||||
| 2 | 1512 | ||||||||||||
| 2 | 756 | ||||||||||||
| 2 | 378 | ||||||||||||
| 2 | 189 | ||||||||||||
| 3 | 63 | ||||||||||||
| 3 | 21 | ||||||||||||
| 3 | 7 | ||||||||||||
3024 = 2 x 1512
1512 = 2 x 756
756 = 2 x 378
378 = 2 x 189
189 = 3 x 63
63 = 3 x 21
21 = 3 x 7
If we write into multiples it would be 3024 x 2
On splitting 1512 further and writing it as multiples of numbers it would be 756 x 2.
On splitting 756 further and writing it as multiples of numbers it would be 378 x 2.
On splitting 378 further and writing it as multiples of numbers it would be 189 x 2.
On splitting 189 further and writing it as multiples of numbers it would be 63 x 3.
On splitting 63 further and writing it as multiples of numbers it would be 21 x 3.
On splitting 21 further and writing it as multiples of numbers it would be 7 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 3024. 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 3024. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 as it results in 3024 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 3024 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 3, 7 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 3024 ?
Answer: Prime Factors of 3024 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7.
2. What are the Prime Factors of 3024 ?
Answer: Prime Factors of 3024 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7.