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Prime factorization of 3000:

Prime factorization of 3000 = 1×2×2×2×3×5×5×5= $ 1 × 2^3 × 3 × 5^3 $

By prime factorization of 3000 we follow 5 simple steps:

1. We write number 3000 above a 2-column table

2. We divide 3000 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

3000 | |

prime factors | number to factorize |

2 | 1500 |

2 | 750 |

2 | 375 |

3 | 125 |

5 | 25 |

5 | 5 |

5 | 1 |

Prime factorization of 3000 = 1×2×2×2×3×5×5×5= $ 1 × 2^3 × 3 × 5^3 $

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