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Factors of 2009:

Factors of 2009 = 1×7×7×41= $ 1 × 7^2 × 41 $

By prime factorization of 2009 we follow 5 simple steps:

1. We write number 2009 above a 2-column table

2. We divide 2009 by the smallest possible prime factor

3. We write down on the left side of the table the prime factor and next number to factorize on the ride side

4. We continue to factor in this fashion (we deal with odd numbers by trying small prime factors)

5. We continue until we reach 1 on the ride side of the table

2009 | |

prime factors | number to factorize |

7 | 287 |

7 | 41 |

41 | 1 |

Factors of 2009 = 1×7×7×41= $ 1 × 7^2 × 41 $

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