Given number is 31122
The factor tree of 31122 is as follows:
| 31122 | |||||||||||
| 2 | 15561 | ||||||||||
| 3 | 5187 | ||||||||||
| 3 | 1729 | ||||||||||
| 7 | 247 | ||||||||||
| 13 | 19 | ||||||||||
31122 = 2 x 15561
15561 = 3 x 5187
5187 = 3 x 1729
1729 = 7 x 247
247 = 13 x 19
If we write into multiples it would be 31122 x 2
On splitting 15561 further and writing it as multiples of numbers it would be 5187 x 3.
On splitting 5187 further and writing it as multiples of numbers it would be 1729 x 3.
On splitting 1729 further and writing it as multiples of numbers it would be 247 x 7.
On splitting 247 further and writing it as multiples of numbers it would be 19 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 31122. 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 31122. Let’s start with 2 x 3 x 3 x 7 x 13 x 19 as it results in 31122 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 31122 now and we can write as 2 x 3 x 3 x 7 x 13 x 19 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 3, 3, 7, 13, 19 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 31122 ?
Answer: Prime Factors of 31122 are 2 x 3 x 3 x 7 x 13 x 19.
2. What are the Prime Factors of 31122 ?
Answer: Prime Factors of 31122 are 2 x 3 x 3 x 7 x 13 x 19.