Given number is 37248
The factor tree of 37248 is as follows:
| 37248 | ||||||||||||||
| 2 | 18624 | |||||||||||||
| 2 | 9312 | |||||||||||||
| 2 | 4656 | |||||||||||||
| 2 | 2328 | |||||||||||||
| 2 | 1164 | |||||||||||||
| 2 | 582 | |||||||||||||
| 2 | 291 | |||||||||||||
| 3 | 97 | |||||||||||||
37248 = 2 x 18624
18624 = 2 x 9312
9312 = 2 x 4656
4656 = 2 x 2328
2328 = 2 x 1164
1164 = 2 x 582
582 = 2 x 291
291 = 3 x 97
If we write into multiples it would be 37248 x 2
On splitting 18624 further and writing it as multiples of numbers it would be 9312 x 2.
On splitting 9312 further and writing it as multiples of numbers it would be 4656 x 2.
On splitting 4656 further and writing it as multiples of numbers it would be 2328 x 2.
On splitting 2328 further and writing it as multiples of numbers it would be 1164 x 2.
On splitting 1164 further and writing it as multiples of numbers it would be 582 x 2.
On splitting 582 further and writing it as multiples of numbers it would be 291 x 2.
On splitting 291 further and writing it as multiples of numbers it would be 97 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 37248. 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 37248. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 97 as it results in 37248 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 37248 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 97 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 3, 97 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 37248 ?
Answer: Prime Factors of 37248 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 97.
2. What are the Prime Factors of 37248 ?
Answer: Prime Factors of 37248 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 97.