# Prime Factorization of 267

## What is the Prime Factorization of 267?

**Answer:**Prime Factors of

**267:**

**3, 89**

## Explanation of number 267 Prime Factorization

Prime Factorization of 267 it is expressing 267 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 267.

Since number 267 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 267, we have to iteratively divide 267 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 267:

The smallest Prime Number which can divide **267** without a remainder is **3**. So the first calculation step would look like:

267 ÷ **3** = 89

Now we repeat this action until the result equals **1**:

89 ÷ **89** = 1

Now we have all the Prime Factors for number 267. It is: **3, 89**

## Prime Factor Tree of 267

We may also express the prime factorization of 267 as a **Factor Tree**:

## Related Calculations

## Prime Factorization Table

Number | Prime Factors |
---|---|

252 | 2^{2} × 3^{2} × 7 |

253 | 11, 23 |

254 | 2, 127 |

255 | 3, 5, 17 |

256 | 2^{8} |

257 | 257 |

258 | 2, 3, 43 |

259 | 7, 37 |

260 | 2^{2} × 5 × 13 |

261 | 3^{2} × 29 |

262 | 2, 131 |

263 | 263 |

264 | 2^{3} × 3 × 11 |

265 | 5, 53 |

266 | 2, 7, 19 |

267 | 3, 89 |

268 | 2^{2} × 67 |

269 | 269 |

270 | 2 × 3^{3} × 5 |

271 | 271 |

272 | 2^{4} × 17 |

273 | 3, 7, 13 |

274 | 2, 137 |

275 | 5^{2} × 11 |

276 | 2^{2} × 3 × 23 |

277 | 277 |

278 | 2, 139 |

279 | 3^{2} × 31 |

280 | 2^{3} × 5 × 7 |

281 | 281 |

## About "Prime Factorization" Calculator

**3, 89**). Pick the number for factorization (e.g. '267'). After that hit the 'Calculate' button.

Prime factors are the positive integers having only two factors - 1 and the number itself