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Factors of 48000:

Factors of 48000 = 1×2×2×2×2×2×2×2×3×5×5×5= $ 1 × 2^7 × 3 × 5^3 $

By prime factorization of 48000 we follow 5 simple steps:

1. We write number 48000 above a 2-column table

2. We divide 48000 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

48000 | |

prime factors | number to factorize |

2 | 24000 |

2 | 12000 |

2 | 6000 |

2 | 3000 |

2 | 1500 |

2 | 750 |

2 | 375 |

3 | 125 |

5 | 25 |

5 | 5 |

5 | 1 |

Factors of 48000 = 1×2×2×2×2×2×2×2×3×5×5×5= $ 1 × 2^7 × 3 × 5^3 $

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