An even number is an integer that is exactly divisible by 2. In other words, when you divide an even number by 2, there is no remainder.

Key points about even numbers:

• They can be positive, negative, or zero.
• Examples include: -4, 0, 2, 8, 14, 100.
• Mathematically, an even number can be expressed as 2k2k2k, where kkk is any integer.

Why are even numbers important?

• They are fundamental in mathematics and appear in many areas such as algebra, number theory, and computer science.
• Even numbers have properties that help in solving equations, understanding patterns, and designing algorithms.

If you'd like, I can also explain odd numbers or give examples and applications of even numbers!