Given number is 117216
The factor tree of 117216 is as follows:
| 117216 | ||||||||||||||
| 2 | 58608 | |||||||||||||
| 2 | 29304 | |||||||||||||
| 2 | 14652 | |||||||||||||
| 2 | 7326 | |||||||||||||
| 2 | 3663 | |||||||||||||
| 3 | 1221 | |||||||||||||
| 3 | 407 | |||||||||||||
| 11 | 37 | |||||||||||||
117216 = 2 x 58608
58608 = 2 x 29304
29304 = 2 x 14652
14652 = 2 x 7326
7326 = 2 x 3663
3663 = 3 x 1221
1221 = 3 x 407
407 = 11 x 37
If we write into multiples it would be 117216 x 2
On splitting 58608 further and writing it as multiples of numbers it would be 29304 x 2.
On splitting 29304 further and writing it as multiples of numbers it would be 14652 x 2.
On splitting 14652 further and writing it as multiples of numbers it would be 7326 x 2.
On splitting 7326 further and writing it as multiples of numbers it would be 3663 x 2.
On splitting 3663 further and writing it as multiples of numbers it would be 1221 x 3.
On splitting 1221 further and writing it as multiples of numbers it would be 407 x 3.
On splitting 407 further and writing it as multiples of numbers it would be 37 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 117216. 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 117216. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 37 as it results in 117216 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 117216 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 37 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 3, 11, 37 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 117216 ?
Answer: Prime Factors of 117216 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 37.
2. What are the Prime Factors of 117216 ?
Answer: Prime Factors of 117216 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 37.