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Factors of 1296:

Factors of 1296 = 1×2×2×2×2×3×3×3×3= $ 1 × 2^4 × 3^4 $

By prime factorization of 1296 we follow 5 simple steps:

1. We write number 1296 above a 2-column table

2. We divide 1296 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

1296 | |

prime factors | number to factorize |

2 | 648 |

2 | 324 |

2 | 162 |

2 | 81 |

3 | 27 |

3 | 9 |

3 | 3 |

3 | 1 |

Factors of 1296 = 1×2×2×2×2×3×3×3×3= $ 1 × 2^4 × 3^4 $

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