Prime Factorization of 343
What is the Prime Factorization of 343?
or
Explanation of number 343 Prime Factorization
Prime Factorization of 343 it is expressing 343 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 343.
Since number 343 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 343, we have to iteratively divide 343 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 343:
The smallest Prime Number which can divide 343 without a remainder is 7. So the first calculation step would look like:
343 ÷ 7 = 49
Now we repeat this action until the result equals 1:
49 ÷ 7 = 7
7 ÷ 7 = 1
Now we have all the Prime Factors for number 343. It is: 7, 7, 7
Or you may also write it in exponential form: 73
Prime Factor Tree of 343
We may also express the prime factorization of 343 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/343">Prime factors of 343 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 353 | 353 |
| 354 | 2, 3, 59 |
| 355 | 5, 71 |
| 356 | 22 × 89 |
| 357 | 3, 7, 17 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself