Given number is 312
The factor tree of 312 is as follows:
312 | ||||||||||
2 | 156 | |||||||||
2 | 78 | |||||||||
2 | 39 | |||||||||
3 | 13 | |||||||||
312 = 2 x 156
156 = 2 x 78
78 = 2 x 39
39 = 3 x 13
If we write into multiples it would be 312 x 2
On splitting 156 further and writing it as multiples of numbers it would be 78 x 2.
On splitting 78 further and writing it as multiples of numbers it would be 39 x 2.
On splitting 39 further and writing it as multiples of numbers it would be 13 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 312. 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 312. Let’s start with 2 x 2 x 2 x 3 x 13 as it results in 312 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 312 now and we can write as 2 x 2 x 2 x 3 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 312 ?
Answer: Prime Factors of 312 are 2 x 2 x 2 x 3 x 13.
2. What are the Prime Factors of 312 ?
Answer: Prime Factors of 312 are 2 x 2 x 2 x 3 x 13.