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Prime factorization of 23456:

Prime factorization of 23456 = 1×2×2×2×2×2×733= $ 1 × 2^5 × 733 $

By prime factorization of 23456 we follow 5 simple steps:

1. We write number 23456 above a 2-column table

2. We divide 23456 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

23456 | |

prime factors | number to factorize |

2 | 11728 |

2 | 5864 |

2 | 2932 |

2 | 1466 |

2 | 733 |

733 | 1 |

Prime factorization of 23456 = 1×2×2×2×2×2×733= $ 1 × 2^5 × 733 $

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