Prime Factorization of 338
What is the Prime Factorization of 338?
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Explanation of number 338 Prime Factorization
Prime Factorization of 338 it is expressing 338 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 338.
Since number 338 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 338, we have to iteratively divide 338 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 338:
The smallest Prime Number which can divide 338 without a remainder is 2. So the first calculation step would look like:
338 ÷ 2 = 169
Now we repeat this action until the result equals 1:
169 ÷ 13 = 13
13 ÷ 13 = 1
Now we have all the Prime Factors for number 338. It is: 2, 13, 13
Or you may also write it in exponential form: 2 × 132
Prime Factor Tree of 338
We may also express the prime factorization of 338 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/338">Prime factors of 338 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 344 | 23 × 43 |
| 345 | 3, 5, 23 |
| 346 | 2, 173 |
| 347 | 347 |
| 348 | 22 × 3 × 29 |
| 349 | 349 |
| 350 | 2 × 52 × 7 |
| 351 | 33 × 13 |
| 352 | 25 × 11 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself