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Identify even numbers

An even whole number is a quantity that can be partitioned into equal pairs with no remainder; equivalently, it is a multiple of 2, including 0, and can be represented as a double or as two equal groups. Within familiar whole numbers through 100, place value shows that numbers ending in 0, 2, 4, 6, or 8 are even, supporting later work with multiplication, arrays, and division.

Detailed Explanation: Identify even numbers

An even number can be split into equal pairs with nothing left over. Even numbers are also multiples of 22.

For numbers through 100100, look at the last digit:

  • 0,2,4,6,0, 2, 4, 6, or 88 means the number is even.
  • 1,3,5,7,1, 3, 5, 7, or 99 means the number is odd.

Example: Is 4646 even?

  1. Look at the last digit of 4646. It is 66.
  2. Since 66 is one of 0,2,4,6,0, 2, 4, 6, or 88, 4646 is even.
  3. We can also show this with pairs:
46=2+2+2+⋯+246 = 2 + 2 + 2 + \cdots + 2

There are 2323 pairs of 22, with nothing left over. Therefore, 46 is even\boxed{46\text{ is even}}.

Learn by doing: Identify even numbers

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    Number Sense - Even or Odd

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