Prime Factorization of 320
What is the Prime Factorization of 320?
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Explanation of number 320 Prime Factorization
Prime Factorization of 320 it is expressing 320 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 320.
Since number 320 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 320, we have to iteratively divide 320 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 320:
The smallest Prime Number which can divide 320 without a remainder is 2. So the first calculation step would look like:
320 ÷ 2 = 160
Now we repeat this action until the result equals 1:
160 ÷ 2 = 80
80 ÷ 2 = 40
40 ÷ 2 = 20
20 ÷ 2 = 10
10 ÷ 2 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 320. It is: 2, 2, 2, 2, 2, 2, 5
Or you may also write it in exponential form: 26 × 5
Prime Factor Tree of 320
We may also express the prime factorization of 320 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/320">Prime factors of 320 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 330 | 2, 3, 5, 11 |
| 331 | 331 |
| 332 | 22 × 83 |
| 333 | 32 × 37 |
| 334 | 2, 167 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself