Given number is 2916
The factor tree of 2916 is as follows:
| 2916 | |||||||||||||
| 2 | 1458 | ||||||||||||
| 2 | 729 | ||||||||||||
| 3 | 243 | ||||||||||||
| 3 | 81 | ||||||||||||
| 3 | 27 | ||||||||||||
| 3 | 9 | ||||||||||||
| 3 | 3 | ||||||||||||
2916 = 2 x 1458
1458 = 2 x 729
729 = 3 x 243
243 = 3 x 81
81 = 3 x 27
27 = 3 x 9
9 = 3 x 3
If we write into multiples it would be 2916 x 2
On splitting 1458 further and writing it as multiples of numbers it would be 729 x 2.
On splitting 729 further and writing it as multiples of numbers it would be 243 x 3.
On splitting 243 further and writing it as multiples of numbers it would be 81 x 3.
On splitting 81 further and writing it as multiples of numbers it would be 27 x 3.
On splitting 27 further and writing it as multiples of numbers it would be 9 x 3.
On splitting 9 further and writing it as multiples of numbers it would be 3 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 2916. 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 2916. Let’s start with 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 as it results in 2916 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 2916 now and we can write as 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 3, 3, 3, 3 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 2916 ?
Answer: Prime Factors of 2916 are 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3.
2. What are the Prime Factors of 2916 ?
Answer: Prime Factors of 2916 are 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3.