Given number is 117312
The factor tree of 117312 is as follows:
| 117312 | ||||||||||||||
| 2 | 58656 | |||||||||||||
| 2 | 29328 | |||||||||||||
| 2 | 14664 | |||||||||||||
| 2 | 7332 | |||||||||||||
| 2 | 3666 | |||||||||||||
| 2 | 1833 | |||||||||||||
| 3 | 611 | |||||||||||||
| 13 | 47 | |||||||||||||
117312 = 2 x 58656
58656 = 2 x 29328
29328 = 2 x 14664
14664 = 2 x 7332
7332 = 2 x 3666
3666 = 2 x 1833
1833 = 3 x 611
611 = 13 x 47
If we write into multiples it would be 117312 x 2
On splitting 58656 further and writing it as multiples of numbers it would be 29328 x 2.
On splitting 29328 further and writing it as multiples of numbers it would be 14664 x 2.
On splitting 14664 further and writing it as multiples of numbers it would be 7332 x 2.
On splitting 7332 further and writing it as multiples of numbers it would be 3666 x 2.
On splitting 3666 further and writing it as multiples of numbers it would be 1833 x 2.
On splitting 1833 further and writing it as multiples of numbers it would be 611 x 3.
On splitting 611 further and writing it as multiples of numbers it would be 47 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 117312. 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 117312. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 47 as it results in 117312 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 117312 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 47 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 3, 13, 47 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 117312 ?
Answer: Prime Factors of 117312 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 47.
2. What are the Prime Factors of 117312 ?
Answer: Prime Factors of 117312 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 47.