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Prime factorization of 8624:

Prime factorization of 8624 = 1×2×2×2×2×7×7×11= $ 1 × 2^4 × 7^2 × 11 $

By prime factorization of 8624 we follow 5 simple steps:

1. We write number 8624 above a 2-column table

2. We divide 8624 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

8624 | |

prime factors | number to factorize |

2 | 4312 |

2 | 2156 |

2 | 1078 |

2 | 539 |

7 | 77 |

7 | 11 |

11 | 1 |

Prime factorization of 8624 = 1×2×2×2×2×7×7×11= $ 1 × 2^4 × 7^2 × 11 $

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