Prime Factorization of 220
What is the Prime Factorization of 220?
or
Explanation of number 220 Prime Factorization
Prime Factorization of 220 it is expressing 220 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 220.
Since number 220 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 220, we have to iteratively divide 220 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 220:
The smallest Prime Number which can divide 220 without a remainder is 2. So the first calculation step would look like:
220 ÷ 2 = 110
Now we repeat this action until the result equals 1:
110 ÷ 2 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
Now we have all the Prime Factors for number 220. It is: 2, 2, 5, 11
Or you may also write it in exponential form: 22 × 5 × 11
Prime Factor Tree of 220
We may also express the prime factorization of 220 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/220">Prime factors of 220 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 205 | 5, 41 |
| 206 | 2, 103 |
| 207 | 32 × 23 |
| 208 | 24 × 13 |
| 209 | 11, 19 |
| 210 | 2, 3, 5, 7 |
| 211 | 211 |
| 212 | 22 × 53 |
| 213 | 3, 71 |
| 214 | 2, 107 |
| 215 | 5, 43 |
| 216 | 23 × 33 |
| 217 | 7, 31 |
| 218 | 2, 109 |
| 219 | 3, 73 |
| 220 | 22 × 5 × 11 |
| 221 | 13, 17 |
| 222 | 2, 3, 37 |
| 223 | 223 |
| 224 | 25 × 7 |
| 225 | 32 × 52 |
| 226 | 2, 113 |
| 227 | 227 |
| 228 | 22 × 3 × 19 |
| 229 | 229 |
| 230 | 2, 5, 23 |
| 231 | 3, 7, 11 |
| 232 | 23 × 29 |
| 233 | 233 |
| 234 | 2 × 32 × 13 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself