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Factors of 35200:

Factors of 35200 = 1×2×2×2×2×2×2×2×5×5×11= $ 1 × 2^7 × 5^2 × 11 $

By prime factorization of 35200 we follow 5 simple steps:

1. We write number 35200 above a 2-column table

2. We divide 35200 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

35200 | |

prime factors | number to factorize |

2 | 17600 |

2 | 8800 |

2 | 4400 |

2 | 2200 |

2 | 1100 |

2 | 550 |

2 | 275 |

5 | 55 |

5 | 11 |

11 | 1 |

Factors of 35200 = 1×2×2×2×2×2×2×2×5×5×11= $ 1 × 2^7 × 5^2 × 11 $

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