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Prime factorization of 405:

Prime factorization of 405 = 1×3×3×3×3×5= $ 1 × 3^4 × 5 $

By prime factorization of 405 we follow 5 simple steps:

1. We write number 405 above a 2-column table

2. We divide 405 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

405 | |

prime factors | number to factorize |

3 | 135 |

3 | 45 |

3 | 15 |

3 | 5 |

5 | 1 |

Prime factorization of 405 = 1×3×3×3×3×5= $ 1 × 3^4 × 5 $

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