Given number is 120224
The factor tree of 120224 is as follows:
| 120224 | |||||||||||||
| 2 | 60112 | ||||||||||||
| 2 | 30056 | ||||||||||||
| 2 | 15028 | ||||||||||||
| 2 | 7514 | ||||||||||||
| 2 | 3757 | ||||||||||||
| 13 | 289 | ||||||||||||
| 17 | 17 | ||||||||||||
120224 = 2 x 60112
60112 = 2 x 30056
30056 = 2 x 15028
15028 = 2 x 7514
7514 = 2 x 3757
3757 = 13 x 289
289 = 17 x 17
If we write into multiples it would be 120224 x 2
On splitting 60112 further and writing it as multiples of numbers it would be 30056 x 2.
On splitting 30056 further and writing it as multiples of numbers it would be 15028 x 2.
On splitting 15028 further and writing it as multiples of numbers it would be 7514 x 2.
On splitting 7514 further and writing it as multiples of numbers it would be 3757 x 2.
On splitting 3757 further and writing it as multiples of numbers it would be 289 x 13.
On splitting 289 further and writing it as multiples of numbers it would be 17 x 17.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 120224. 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 120224. Let’s start with 2 x 2 x 2 x 2 x 2 x 13 x 17 x 17 as it results in 120224 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 120224 now and we can write as 2 x 2 x 2 x 2 x 2 x 13 x 17 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 13, 17, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 120224 ?
Answer: Prime Factors of 120224 are 2 x 2 x 2 x 2 x 2 x 13 x 17 x 17.
2. What are the Prime Factors of 120224 ?
Answer: Prime Factors of 120224 are 2 x 2 x 2 x 2 x 2 x 13 x 17 x 17.