Prime Factorization of 329
What is the Prime Factorization of 329?
Explanation of number 329 Prime Factorization
Prime Factorization of 329 it is expressing 329 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 329.
Since number 329 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 329, we have to iteratively divide 329 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 329:
The smallest Prime Number which can divide 329 without a remainder is 7. So the first calculation step would look like:
329 ÷ 7 = 47
Now we repeat this action until the result equals 1:
47 ÷ 47 = 1
Now we have all the Prime Factors for number 329. It is: 7, 47
Prime Factor Tree of 329
We may also express the prime factorization of 329 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/329">Prime factors of 329 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 343 | 73 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself