# Prime Factorization of 522

## What is the Prime Factorization of 522?

**Answer:**Prime Factors of

**522:**

**2, 3, 3, 29**

or

**2 × 3**

^{2}× 29## Explanation of number 522 Prime Factorization

Prime Factorization of 522 it is expressing 522 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 522.

Since number **522 is a Composite number (not Prime)** we can do its Prime Factorization.

To get a list of all Prime Factors of 522, we have to iteratively divide 522 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 522:

The smallest Prime Number which can divide **522** without a remainder is **2**. So the first calculation step would look like:

522 ÷ **2** = 261

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

261 ÷ **3** = 87

87 ÷ **3** = 29

29 ÷ **29** = 1

Now we have all the Prime Factors for number 522. It is: **2, 3, 3, 29**

Or you may also write it in exponential form: **2 × 3 ^{2} × 29**

## Prime Factor Tree of 522

We may also express the prime factorization of 522 as a **Factor Tree**:

## Related Calculations

## Prime Factorization Table

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

507 | 3 × 13^{2} |

508 | 2^{2} × 127 |

509 | 509 |

510 | 2, 3, 5, 17 |

511 | 7, 73 |

512 | 2^{9} |

513 | 3^{3} × 19 |

514 | 2, 257 |

515 | 5, 103 |

516 | 2^{2} × 3 × 43 |

517 | 11, 47 |

518 | 2, 7, 37 |

519 | 3, 173 |

520 | 2^{3} × 5 × 13 |

521 | 521 |

522 | 2 × 3^{2} × 29 |

523 | 523 |

524 | 2^{2} × 131 |

525 | 3 × 5^{2} × 7 |

526 | 2, 263 |

527 | 17, 31 |

528 | 2^{4} × 3 × 11 |

529 | 23^{2} |

530 | 2, 5, 53 |

531 | 3^{2} × 59 |

532 | 2^{2} × 7 × 19 |

533 | 13, 41 |

534 | 2, 3, 89 |

535 | 5, 107 |

536 | 2^{3} × 67 |

## About "Prime Factorization" Calculator

**2, 3, 3, 29**). Pick the number for factorization (e.g. '522'). After that hit the 'Calculate' button.

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