Prime Factorization of 272
What is the Prime Factorization of 272?
or
Explanation of number 272 Prime Factorization
Prime Factorization of 272 it is expressing 272 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 272.
Since number 272 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 272, we have to iteratively divide 272 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 272:
The smallest Prime Number which can divide 272 without a remainder is 2. So the first calculation step would look like:
272 ÷ 2 = 136
Now we repeat this action until the result equals 1:
136 ÷ 2 = 68
68 ÷ 2 = 34
34 ÷ 2 = 17
17 ÷ 17 = 1
Now we have all the Prime Factors for number 272. It is: 2, 2, 2, 2, 17
Or you may also write it in exponential form: 24 × 17
Prime Factor Tree of 272
We may also express the prime factorization of 272 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/272">Prime factors of 272 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 257 | 257 |
| 258 | 2, 3, 43 |
| 259 | 7, 37 |
| 260 | 22 × 5 × 13 |
| 261 | 32 × 29 |
| 262 | 2, 131 |
| 263 | 263 |
| 264 | 23 × 3 × 11 |
| 265 | 5, 53 |
| 266 | 2, 7, 19 |
| 267 | 3, 89 |
| 268 | 22 × 67 |
| 269 | 269 |
| 270 | 2 × 33 × 5 |
| 271 | 271 |
| 272 | 24 × 17 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself