Prime Factorization of 315
What is the Prime Factorization of 315?
or
Explanation of number 315 Prime Factorization
Prime Factorization of 315 it is expressing 315 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 315.
Since number 315 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 315, we have to iteratively divide 315 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 315:
The smallest Prime Number which can divide 315 without a remainder is 3. So the first calculation step would look like:
315 ÷ 3 = 105
Now we repeat this action until the result equals 1:
105 ÷ 3 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
Now we have all the Prime Factors for number 315. It is: 3, 3, 5, 7
Or you may also write it in exponential form: 32 × 5 × 7
Prime Factor Tree of 315
We may also express the prime factorization of 315 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/315">Prime factors of 315 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 300 | 22 × 3 × 52 |
| 301 | 7, 43 |
| 302 | 2, 151 |
| 303 | 3, 101 |
| 304 | 24 × 19 |
| 305 | 5, 61 |
| 306 | 2 × 32 × 17 |
| 307 | 307 |
| 308 | 22 × 7 × 11 |
| 309 | 3, 103 |
| 310 | 2, 5, 31 |
| 311 | 311 |
| 312 | 23 × 3 × 13 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself