Prime Factorization of 288
What is the Prime Factorization of 288?
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Explanation of number 288 Prime Factorization
Prime Factorization of 288 it is expressing 288 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 288.
Since number 288 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 288, we have to iteratively divide 288 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 288:
The smallest Prime Number which can divide 288 without a remainder is 2. So the first calculation step would look like:
288 ÷ 2 = 144
Now we repeat this action until the result equals 1:
144 ÷ 2 = 72
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Now we have all the Prime Factors for number 288. It is: 2, 2, 2, 2, 2, 3, 3
Or you may also write it in exponential form: 25 × 32
Prime Factor Tree of 288
We may also express the prime factorization of 288 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/288">Prime factors of 288 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 273 | 3, 7, 13 |
| 274 | 2, 137 |
| 275 | 52 × 11 |
| 276 | 22 × 3 × 23 |
| 277 | 277 |
| 278 | 2, 139 |
| 279 | 32 × 31 |
| 280 | 23 × 5 × 7 |
| 281 | 281 |
| 282 | 2, 3, 47 |
| 283 | 283 |
| 284 | 22 × 71 |
| 285 | 3, 5, 19 |
| 286 | 2, 11, 13 |
| 287 | 7, 41 |
| 288 | 25 × 32 |
| 289 | 172 |
| 290 | 2, 5, 29 |
| 291 | 3, 97 |
| 292 | 22 × 73 |
| 293 | 293 |
| 294 | 2 × 3 × 72 |
| 295 | 5, 59 |
| 296 | 23 × 37 |
| 297 | 33 × 11 |
| 298 | 2, 149 |
| 299 | 13, 23 |
| 300 | 22 × 3 × 52 |
| 301 | 7, 43 |
| 302 | 2, 151 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself