# Difference between revisions of "Even integer"

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An '''even integer''' is any [[integer]] which is a [[multiple]] of <math>2.</math> The even integers are <math>\ldots, -4, -2, 0, 2, 4, \ldots</math>; specifically, note that <math>0</math> is even. Every even integer can be written in the form <math>2k</math> for some unique integer <math>k</math>. | An '''even integer''' is any [[integer]] which is a [[multiple]] of <math>2.</math> The even integers are <math>\ldots, -4, -2, 0, 2, 4, \ldots</math>; specifically, note that <math>0</math> is even. Every even integer can be written in the form <math>2k</math> for some unique integer <math>k</math>. | ||

− | The sum and difference of any two | + | The sum and difference of any two integers with the same [[parity]] is even. |

+ | The product of any two even integers is not only even but is also [[divisible]] by <math>4.</math> The sum of an even integer and an [[odd integer]] is odd. | ||

Since every even integer is divisible by <math>2,</math> <math>2</math> is the only [[prime]] even integer. | Since every even integer is divisible by <math>2,</math> <math>2</math> is the only [[prime]] even integer. | ||

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## Latest revision as of 14:20, 15 August 2015

An **even integer** is any integer which is a multiple of The even integers are ; specifically, note that is even. Every even integer can be written in the form for some unique integer .

The sum and difference of any two integers with the same parity is even. The product of any two even integers is not only even but is also divisible by The sum of an even integer and an odd integer is odd.

Since every even integer is divisible by is the only prime even integer.

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