Given number is 31356
The factor tree of 31356 is as follows:
| 31356 | |||||||||||
| 2 | 15678 | ||||||||||
| 2 | 7839 | ||||||||||
| 3 | 2613 | ||||||||||
| 3 | 871 | ||||||||||
| 13 | 67 | ||||||||||
31356 = 2 x 15678
15678 = 2 x 7839
7839 = 3 x 2613
2613 = 3 x 871
871 = 13 x 67
If we write into multiples it would be 31356 x 2
On splitting 15678 further and writing it as multiples of numbers it would be 7839 x 2.
On splitting 7839 further and writing it as multiples of numbers it would be 2613 x 3.
On splitting 2613 further and writing it as multiples of numbers it would be 871 x 3.
On splitting 871 further and writing it as multiples of numbers it would be 67 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 31356. 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 31356. Let’s start with 2 x 2 x 3 x 3 x 13 x 67 as it results in 31356 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 31356 now and we can write as 2 x 2 x 3 x 3 x 13 x 67 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 3, 13, 67 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 31356 ?
Answer: Prime Factors of 31356 are 2 x 2 x 3 x 3 x 13 x 67.
2. What are the Prime Factors of 31356 ?
Answer: Prime Factors of 31356 are 2 x 2 x 3 x 3 x 13 x 67.