Determine all numbers n belong to N with the property that the set: A = {n, n + 1, n + 2, n + 3, n + 4, n + 5} can be written as the reunion of two disjoint and non empty sets, A = BUC, and the product of the elements in B is equal to the product of the elements in C. Please give some explanation for the answer, thank you in advance.

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