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Prime factorization of 945:

Prime factorization of 945 = 1×3×3×3×5×7= $ 1 × 3^3 × 5 × 7 $

By prime factorization of 945 we follow 5 simple steps:

1. We write number 945 above a 2-column table

2. We divide 945 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

945 | |

prime factors | number to factorize |

3 | 315 |

3 | 105 |

3 | 35 |

5 | 7 |

7 | 1 |

Prime factorization of 945 = 1×3×3×3×5×7= $ 1 × 3^3 × 5 × 7 $

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