Prime Factorization of 324
What is the Prime Factorization of 324?
or
Explanation of number 324 Prime Factorization
Prime Factorization of 324 it is expressing 324 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 324.
Since number 324 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 324, we have to iteratively divide 324 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 324:
The smallest Prime Number which can divide 324 without a remainder is 2. So the first calculation step would look like:
324 ÷ 2 = 162
Now we repeat this action until the result equals 1:
162 ÷ 2 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Now we have all the Prime Factors for number 324. It is: 2, 2, 3, 3, 3, 3
Or you may also write it in exponential form: 22 × 34
Prime Factor Tree of 324
We may also express the prime factorization of 324 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/324">Prime factors of 324 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself