Have one specific question, “is this number even?”, and want a direct answer? Enter the integer below. You get yes or no first, then the reason in one line.
Is this number even?
What counts as an even number?
A number is even when it is a multiple of 2: you can write it as 2 × k, where k is an integer. The sequence of even numbers runs in both directions: … −6, −4, −2, 0, 2, 4, 6 …. Every second integer is even, and the gap between consecutive even numbers is always 2.
Test: n is even ⇔ n ÷ 2 leaves remainder 0 ⇔ the last digit of n is 0, 2, 4, 6 or 8.
How to use the even number checker
- Enter a whole number. Leading zeros, a plus sign and spaces around the number are ignored.
- Select Check if Even.
- A “Yes, it is even” result shows the halving with remainder 0. A “No” result shows remainder 1 and tells you the number is odd instead.
Examples of even numbers
| Number | Even? | Why |
|---|---|---|
| 48 | Yes | 48 = 2 × 24 |
| 0 | Yes | 0 = 2 × 0 |
| −24 | Yes | −24 = 2 × (−12) |
| 1,000,000 | Yes | Ends in 0 |
| 9 | No | 9 = 2 × 4 + 1 |
| 6.0 | Yes | Equals the integer 6 |
Where even numbers show up
- Pairing and sharing. An even number of items can be split into two equal groups or arranged in pairs with nothing left over.
- Calendars. Leap years are a subset of years divisible by 4, and every number divisible by 4 is even.
- Programming. Alternating table row colours and splitting work between two workers both depend on an evenness check.
- Street numbering. Many countries put even house numbers on one side of the street and odd ones on the other.
Divisibility facts that build on evenness
Every multiple of 4, 6, 8 or 10 is even, but the reverse is not true: 6 is even and not a multiple of 4. The only even prime number is 2, because every other even number has 2 as a factor. To explore these properties for a particular number, use the Number Classifier.
Frequently asked questions
Is 0 an even number?
Yes. 0 = 2 × 0, so zero meets the definition exactly. The zero parity page explains this in detail.
Are negative numbers even?
Negative integers can be even or odd. −14 is even because −14 = 2 × (−7).
What is the smallest even number?
There is none. Even numbers continue forever in the negative direction (−2, −4, −6, …). The smallest positive even number is 2.
Is 2 the only even prime?
Yes. Any other even number is divisible by 2 and by itself, so it has at least three divisors and is composite.