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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