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0 × 2 = 0. Zero is a member of the even numbers set: 0 ∈ {2k, k∈ℤ} So zero is an even number and not an odd number. Is zero a natural number? There are two definitions for the natural numbers set. The set of non negative integers: ℕ 0 = {0,1,2,3,4,5,6,7,8,...} The set of positive integers: ℕ 1 = {1,2,3,4,5,6,7,8,...}
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