Parity of Zero
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Zero is an even number. In other words, its parity the quality of an integer being even or odd is even. Zero fits the definition of "even number": it is an integer multiple of 2. As a result, zero exhibits the properties shared by all even numbers: 0 is divisible by 2, 0 is surrounded on both sides by odd integers, 0 is the sum of an integer with itself, and 0 objects can be split into two equal groups. Zero fits into the rules for sums and products of even numbers,…mehr

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Zero is an even number. In other words, its parity the quality of an integer being even or odd is even. Zero fits the definition of "even number": it is an integer multiple of 2. As a result, zero exhibits the properties shared by all even numbers: 0 is divisible by 2, 0 is surrounded on both sides by odd integers, 0 is the sum of an integer with itself, and 0 objects can be split into two equal groups. Zero fits into the rules for sums and products of even numbers, such as even even = even, so any alternate definition of "even number" would still need to include zero. Within the even numbers, zero plays a central role: it is the identity element of the group of even integers, and it is the starting case from which other even natural numbers are recursively generated. Every integer divides 0, including each power of 2; in this sense, 0 is the "most even"number of all.