# Difference between revisions of "Even integer"

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− | An '''even integer''' | + | 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 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. | ||

+ | |||

+ | To find how many even integers are between 1 and <math>x</math>. You do <math>\frac {x}{2}</math>+1 | ||

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## Latest revision as of 17:44, 19 September 2021

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.

To find how many even integers are between 1 and . You do +1

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