Prime Factorization of 325
What is the Prime Factorization of 325?
or
Explanation of number 325 Prime Factorization
Prime Factorization of 325 it is expressing 325 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 325.
Since number 325 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 325, we have to iteratively divide 325 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 325:
The smallest Prime Number which can divide 325 without a remainder is 5. So the first calculation step would look like:
325 ÷ 5 = 65
Now we repeat this action until the result equals 1:
65 ÷ 5 = 13
13 ÷ 13 = 1
Now we have all the Prime Factors for number 325. It is: 5, 5, 13
Or you may also write it in exponential form: 52 × 13
Prime Factor Tree of 325
We may also express the prime factorization of 325 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/325">Prime factors of 325 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself