Basics of Even & Odd numbers

We’ll begin with the basic definitions: Even: any integer that is divisible by 2. Examples: 2, 4, 14. Odd: any integer that is not divisible by 2, i.e. leaves a…

We’ll begin with the basic definitions:

Even: any integer that is divisible by 2. Examples: 2, 4, 14.

Odd: any integer that is not divisible by 2, i.e. leaves a remainder of 1 when divided by 2. Examples: 1, 3, 5, 7, 9

So far so good. Consider this potential misconception:

Is 0 even or odd?

When dividing 0 by 2, you get a result of 0 ÷ 2 = 0. In other words, 0 is divisible by 2. Therefore, zero meets the criteria set for even integers. Hence zero is even.

Zero is neutral when it comes to positive and negative numbers, i.e. zero is neither positive nor negative – it is neutral. Don’t mix that up with even and odd.

But zero is divisible by 3, 5, and 7…. as well?

The fact the zero is divisible by other odd integers as well (and yes, zero is divisible by 3, or 5, or 7, or any other integer but itself) is irrelevant.

The definition of an even or an odd number only has to do with divisibility by 2. For example, 6 is an even number because it is divisible by 2. 6 is divisible by 3 as well but that is irrelevant.

 

Remember this fact: Zero is even.

Odd and even integers are can be negative as well; for example, ?7 is odd, and ?18 is even.

Even Numbers: {…., -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, ….}

Odd Numbers: {…., -9, -7, -5, -3, -1, 1, 3, 5, 7, 9, ….}

Which of the following is NOT an even number?

  • -117
  • -4.222
  • -2
  • 0
  • 2.2
  • 100.002
  • 498

 

  • 117 is an odd number since it is not divisible by 2.
  • -4.222 is a decimal number. Decimal values are neither even nor odd.
  • -2 is an even number since it is divisible by 2.
  • 0 is an even number since it is divisible by 2.
  • -2.2 is a decimal number. Decimal values are neither even nor odd.
  • 100.002 is a decimal number. Decimal values are neither even nor odd.
  • 498 is an even number since it is divisible by 2.

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