Prime Factorization of 351
What is the Prime Factorization of 351?
or
Explanation of number 351 Prime Factorization
Prime Factorization of 351 it is expressing 351 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 351.
Since number 351 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 351, we have to iteratively divide 351 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 351:
The smallest Prime Number which can divide 351 without a remainder is 3. So the first calculation step would look like:
351 ÷ 3 = 117
Now we repeat this action until the result equals 1:
117 ÷ 3 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1
Now we have all the Prime Factors for number 351. It is: 3, 3, 3, 13
Or you may also write it in exponential form: 33 × 13
Prime Factor Tree of 351
We may also express the prime factorization of 351 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/351">Prime factors of 351 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 353 | 353 |
| 354 | 2, 3, 59 |
| 355 | 5, 71 |
| 356 | 22 × 89 |
| 357 | 3, 7, 17 |
| 358 | 2, 179 |
| 359 | 359 |
| 360 | 23 × 32 × 5 |
| 361 | 192 |
| 362 | 2, 181 |
| 363 | 3 × 112 |
| 364 | 22 × 7 × 13 |
| 365 | 5, 73 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself