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Factors of 729:

Factors of 729 = 1×3×3×3×3×3×3= $ 1 × 3^6 $

By prime factorization of 729 we follow 5 simple steps:

1. We write number 729 above a 2-column table

2. We divide 729 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

729 | |

prime factors | number to factorize |

3 | 243 |

3 | 81 |

3 | 27 |

3 | 9 |

3 | 3 |

3 | 1 |

Factors of 729 = 1×3×3×3×3×3×3= $ 1 × 3^6 $

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