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EVEN NUMBER

Even Number

Definition of Even Number

An Even Number is an integer that is divisible by 2. For example: -4, -2, 0, 2, 4...
The numbers that are multiples of 2 are called Even Numbers.

More about Even Number

The numbers which are not even are called odd numbers.
The sum of odd and even number is always an odd number.
The product of an even and an odd number is always even.

Examples of Even Number

 

The numbers shown in the box are even numbers.

The number line represents even numbers. The point T represents an even number 8.

Solved Example on Even Number

Which group has only even numbers?
Choices: 
A. -14, -10, and -6
B. 3, 5, and 7
C. 5, 15, and 20
D. -4, -8, and 3
Correct Answer: A

Solution:

Step 1: An even number can be divided by 2 with no leftovers.
Step 2: Here, only the numbers -14, -10, and -6 are divisible by 2. 
Step 3: So, the group containing -14, -10, and -6 is the one with even numbers.

Related Terms for Even Number

Divisible
Integer
Multiple
Odd Number

Quick Summary

  • Even numbers are multiples of 2.
  • The sum of an odd and an even number is always odd.
  • The product of an even and an odd number is always even.
\[ n = 2k, where k is an integer \]

🍎 Teacher Insights

Use visual aids like number lines and manipulatives to help students understand even numbers. Emphasize the relationship between even numbers and pairs.

🎓 Prerequisites

  • Integers
  • Divisibility

Check Your Knowledge

Q1: Which of the following numbers is even?

Q2: The sum of 5 and an even number is always:

Frequently Asked Questions

Q: Is 0 an even number?
A: Yes, 0 is an even number because it is divisible by 2 (0 / 2 = 0).

Q: Are negative even numbers still even?
A: Yes, negative integers divisible by 2 are also considered even numbers (e.g., -2, -4, -6).

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