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Factors of 10125:

Factors of 10125 = 1×3×3×3×3×5×5×5= $ 1 × 3^4 × 5^3 $

By prime factorization of 10125 we follow 5 simple steps:

1. We write number 10125 above a 2-column table

2. We divide 10125 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

10125 | |

prime factors | number to factorize |

3 | 3375 |

3 | 1125 |

3 | 375 |

3 | 125 |

5 | 25 |

5 | 5 |

5 | 1 |

Factors of 10125 = 1×3×3×3×3×5×5×5= $ 1 × 3^4 × 5^3 $

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