Difference between revisions of "Even integer"

 
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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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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 $2.$ The even integers are $\ldots, -4, -2, 0, 2, 4, \ldots$; specifically, note that $0$ is even. Every even integer can be written in the form $2k$ for some unique integer $k$.

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 $4.$ The sum of an even integer and an odd integer is odd.

Since every even integer is divisible by $2,$ $2$ is the only prime even integer.

To find how many even integers are between 1 and $x$. You do $\frac {x}{2}$+1

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