Definition
Even number
An even number is an integer that is divisible by 2 with no remainder.
What it means
Make pairs. If every item has a partner and none is left, the number is even. In base ten, an integer ending in 0, 2, 4, 6, or 8 is even.
Remember it
Perfect pairs, no spare.
Example
Arrange 34 counters into pairs. They make 17 pairs with none left, so 34 is even; algebraically, 34 = 2 × 17.
Watch for
Zero is even because 0 = 2 × 0.
Common mix-up
Even describes divisibility by 2, not how large an integer is.
Exact meaning
An even number is an integer of the form 2 × k for some integer k. Equivalently, dividing it by 2 leaves no remainder.