If the product of five consecutive integer is 0, what is the greatest possible sum of these integers

(A) -2 (B) -1(C) 0

(A) -2
(B) -1
(C) 0 The correct answer is C, but can someone explain to me why?
(D) 4
(E) 10

or:(A) -2 (B) -1(C) 0 The correct answer is C, but can someone explain to me why?(D) 4(E) 10

or:If the product is to be zero, one of the numbers is zero. If the sum is to be greatest then the numbers can only be 0, 1, 2, 3, 4 and the sum is10. The correct answer is E.

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