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Factors of 3400:

Factors of 3400 = 1×2×2×2×5×5×17= $ 1 × 2^3 × 5^2 × 17 $

By prime factorization of 3400 we follow 5 simple steps:

1. We write number 3400 above a 2-column table

2. We divide 3400 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

3400 | |

prime factors | number to factorize |

2 | 1700 |

2 | 850 |

2 | 425 |

5 | 85 |

5 | 17 |

17 | 1 |

Factors of 3400 = 1×2×2×2×5×5×17= $ 1 × 2^3 × 5^2 × 17 $

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