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Prime factorization of 10728:

Prime factorization of 10728 = 1×2×2×2×3×3×149= $ 1 × 2^3 × 3^2 × 149 $

By prime factorization of 10728 we follow 5 simple steps:

1. We write number 10728 above a 2-column table

2. We divide 10728 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

10728 | |

prime factors | number to factorize |

2 | 5364 |

2 | 2682 |

2 | 1341 |

3 | 447 |

3 | 149 |

149 | 1 |

Prime factorization of 10728 = 1×2×2×2×3×3×149= $ 1 × 2^3 × 3^2 × 149 $

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