Given number is 109120
The factor tree of 109120 is as follows:
| 109120 | ||||||||||||||
| 2 | 54560 | |||||||||||||
| 2 | 27280 | |||||||||||||
| 2 | 13640 | |||||||||||||
| 2 | 6820 | |||||||||||||
| 2 | 3410 | |||||||||||||
| 2 | 1705 | |||||||||||||
| 5 | 341 | |||||||||||||
| 11 | 31 | |||||||||||||
109120 = 2 x 54560
54560 = 2 x 27280
27280 = 2 x 13640
13640 = 2 x 6820
6820 = 2 x 3410
3410 = 2 x 1705
1705 = 5 x 341
341 = 11 x 31
If we write into multiples it would be 109120 x 2
On splitting 54560 further and writing it as multiples of numbers it would be 27280 x 2.
On splitting 27280 further and writing it as multiples of numbers it would be 13640 x 2.
On splitting 13640 further and writing it as multiples of numbers it would be 6820 x 2.
On splitting 6820 further and writing it as multiples of numbers it would be 3410 x 2.
On splitting 3410 further and writing it as multiples of numbers it would be 1705 x 2.
On splitting 1705 further and writing it as multiples of numbers it would be 341 x 5.
On splitting 341 further and writing it as multiples of numbers it would be 31 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 109120. 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 109120. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 31 as it results in 109120 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 109120 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 31 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 5, 11, 31 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 109120 ?
Answer: Prime Factors of 109120 are 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 31.
2. What are the Prime Factors of 109120 ?
Answer: Prime Factors of 109120 are 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 31.