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Let X = {12, 13, 14, 15, 16, 17} and f : A → Z : f(x) = highest prime factor of x. Find range (f)

Given: f(x) = highest prime factor of x

and since x ∈ A, A = {12, 13, 14, 15, 16, 17}

Value of x can only be 12, 13, 14, 15, 16, 17

Doing prime factorization of the above, we get

Value of x | Highest Prime Factor of x |

12 | 3 |

13 | 13 |

14 | 7 |

15 | 5 |

16 | 2 |

17 | 17 |

Hence, range of f = {2, 3, 5, 7, 13, 17}

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