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Prime factorization of 57624:

Prime factorization of 57624 = 1×2×2×2×3×7×7×7×7= $ 1 × 2^3 × 3 × 7^4 $

By prime factorization of 57624 we follow 5 simple steps:

1. We write number 57624 above a 2-column table

2. We divide 57624 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

57624 | |

prime factors | number to factorize |

2 | 28812 |

2 | 14406 |

2 | 7203 |

3 | 2401 |

7 | 343 |

7 | 49 |

7 | 7 |

7 | 1 |

Prime factorization of 57624 = 1×2×2×2×3×7×7×7×7= $ 1 × 2^3 × 3 × 7^4 $

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