A whole number is *even* if it is divisible by 2. Equivalently (since sometimes there is confusion with 0 and the word ‘divisible’), a whole number is **even** if it can be written as two times *some whole number*. E.g., 22 is even because it can be written as 2 time somes whole number (namely 11), and 7 is NOT even because it *can’t* be written as 2 times some *whole* number.

**That’s all there is to it.** SO, to ask “Is o even?” is to ask “Can it be written as 2 times some other whole number?” AND, since that answer is yes (2 x 0 = 0), we say that **0 is even.**

If we’re careful (and have already defined *even*), it’s OK to say a whole number is *odd* if it isn’t even. We could – maybe should – get more technical, but I won’t. A whole number is either even or odd, never both.

SO, since 2 IS even, it is NOT odd. And therefore it is NOT *both* (and not *neither*, for that matter. 🙂 ).

As long as we’re here, let’s quickly review *positive* and *negative. *An integer is

*positive*if it’s

**, and it’s**

*greater than 0**negative*if it’s

**Since 0 is not greater than or less than itself, it is NEITHER positive nor negative.**

*less than 0.***NOTE – and PREVIEWS **🙂 We have used terms like ‘integer’ and ‘whole number’. Do you remember all the distinctions for the various sets of numbers we use? That will show up as a Math Tidbit very soon. So might the discussion of the why we don’t divide* by* 0.

Larry,

This was an actual question on the last C of O Math League contest: Zero is an even

number – true or false? I didn’t ask the students how they answered, they just told

me that they had the question.

Wow, Amy! Who knows when some of this information may be useful, eh? 🙂

Of course math is not a four letter word. It is an eleven letter word. Mathematics.