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Prime factorization of 75:

Prime factorization of 75 = 1×3×5×5= $ 1 × 3 × 5^2 $

By prime factorization of 75 we follow 5 simple steps:

1. We write number 75 above a 2-column table

2. We divide 75 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

75 | |

prime factors | number to factorize |

3 | 25 |

5 | 5 |

5 | 1 |

Prime factorization of 75 = 1×3×5×5= $ 1 × 3 × 5^2 $

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