Given number is 31248
The factor tree of 31248 is as follows:
| 31248 | |||||||||||||
| 2 | 15624 | ||||||||||||
| 2 | 7812 | ||||||||||||
| 2 | 3906 | ||||||||||||
| 2 | 1953 | ||||||||||||
| 3 | 651 | ||||||||||||
| 3 | 217 | ||||||||||||
| 7 | 31 | ||||||||||||
31248 = 2 x 15624
15624 = 2 x 7812
7812 = 2 x 3906
3906 = 2 x 1953
1953 = 3 x 651
651 = 3 x 217
217 = 7 x 31
If we write into multiples it would be 31248 x 2
On splitting 15624 further and writing it as multiples of numbers it would be 7812 x 2.
On splitting 7812 further and writing it as multiples of numbers it would be 3906 x 2.
On splitting 3906 further and writing it as multiples of numbers it would be 1953 x 2.
On splitting 1953 further and writing it as multiples of numbers it would be 651 x 3.
On splitting 651 further and writing it as multiples of numbers it would be 217 x 3.
On splitting 217 further and writing it as multiples of numbers it would be 31 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 31248. 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 31248. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 7 x 31 as it results in 31248 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 31248 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 7 x 31 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 7, 31 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 31248 ?
Answer: Prime Factors of 31248 are 2 x 2 x 2 x 2 x 3 x 3 x 7 x 31.
2. What are the Prime Factors of 31248 ?
Answer: Prime Factors of 31248 are 2 x 2 x 2 x 2 x 3 x 3 x 7 x 31.