Prime Factorization of 328
What is the Prime Factorization of 328?
or
Explanation of number 328 Prime Factorization
Prime Factorization of 328 it is expressing 328 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 328.
Since number 328 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 328, we have to iteratively divide 328 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 328:
The smallest Prime Number which can divide 328 without a remainder is 2. So the first calculation step would look like:
328 ÷ 2 = 164
Now we repeat this action until the result equals 1:
164 ÷ 2 = 82
82 ÷ 2 = 41
41 ÷ 41 = 1
Now we have all the Prime Factors for number 328. It is: 2, 2, 2, 41
Or you may also write it in exponential form: 23 × 41
Prime Factor Tree of 328
We may also express the prime factorization of 328 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/328">Prime factors of 328 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 313 | 313 |
| 314 | 2, 157 |
| 315 | 32 × 5 × 7 |
| 316 | 22 × 79 |
| 317 | 317 |
| 318 | 2, 3, 53 |
| 319 | 11, 29 |
| 320 | 26 × 5 |
| 321 | 3, 107 |
| 322 | 2, 7, 23 |
| 323 | 17, 19 |
| 324 | 22 × 34 |
| 325 | 52 × 13 |
| 326 | 2, 163 |
| 327 | 3, 109 |
| 328 | 23 × 41 |
| 329 | 7, 47 |
| 330 | 2, 3, 5, 11 |
| 331 | 331 |
| 332 | 22 × 83 |
| 333 | 32 × 37 |
| 334 | 2, 167 |
| 335 | 5, 67 |
| 336 | 24 × 3 × 7 |
| 337 | 337 |
| 338 | 2 × 132 |
| 339 | 3, 113 |
| 340 | 22 × 5 × 17 |
| 341 | 11, 31 |
| 342 | 2 × 32 × 19 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself