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Factors of 105625:

Factors of 105625 = 1×5×5×5×5×13×13= $ 1 × 5^4 × 13^2 $

By prime factorization of 105625 we follow 5 simple steps:

1. We write number 105625 above a 2-column table

2. We divide 105625 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

105625 | |

prime factors | number to factorize |

5 | 21125 |

5 | 4225 |

5 | 845 |

5 | 169 |

13 | 13 |

13 | 1 |

Factors of 105625 = 1×5×5×5×5×13×13= $ 1 × 5^4 × 13^2 $

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