Prime Factorization of 221
What is the Prime Factorization of 221?
Explanation of number 221 Prime Factorization
Prime Factorization of 221 it is expressing 221 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 221.
Since number 221 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 221, we have to iteratively divide 221 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 221:
The smallest Prime Number which can divide 221 without a remainder is 13. So the first calculation step would look like:
221 ÷ 13 = 17
Now we repeat this action until the result equals 1:
17 ÷ 17 = 1
Now we have all the Prime Factors for number 221. It is: 13, 17
Prime Factor Tree of 221
We may also express the prime factorization of 221 as a Factor Tree:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
<a href="https://calculat.io/en/number/prime-factors-of/221">Prime factors of 221 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 235 | 5, 47 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself