Let g : N → N with g(n) being the product of the digits of n. (a) Prove that g(n) ≤ n for all n ∈ N.(b) Find all n ∈ N, for which n2− 12n + 36 = g(n).

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Let g : N → N with g(n) being the product of the digits of n. (a) Prove that g(n) ≤ n for all n ∈ N.
(b) Find all n ∈ N, for which n2− 12n + 36 = g(n).
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