Table of Contents
What is an Even Number?
An even number is an integer that is divisible by 2 without leaving a remainder. In other words, if you can divide a number by 2 and get a whole number result, it is an even number.
Examples of Even Numbers:
- 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, …
Properties of Even Numbers:
- Divisibility by 2: Even numbers can be evenly divided by 2.
- Sum of Even Numbers: The sum of two even numbers is always even.
- Difference of Even Numbers: The difference between two even numbers is always even.
- Multiplication of Even Numbers: The product of two even numbers is always even.
- Division of Even Numbers: The result of dividing an even number by 2 is always another even number.
Is Zero an Even Number?
Yes, zero is an even number because it can be divided by 2 without leaving a remainder.
Relationship Between Odd and Even Numbers:
- Every even number can be represented as 2×n, where nn is an integer.
- Odd numbers, on the other hand, cannot be represented in this form.
Example:
- 4 + 6 = 104+6=10 (sum of two even numbers is even)
- 8×3=24 (product of an even and an odd number is even)
List of Even Numbers
Here’s a list of even numbers from 1 to 200
Even Numbers Examples
Example 1: Are all whole numbers even?
No, not all whole numbers are even. Whole numbers include both even and odd numbers.
Example 2: Write any four consecutive even numbers between 11 to 25.
Solution:
To find four consecutive even numbers between 11 and 25, we can start by identifying the closest even number after 11, which is 12. Then, we can continue adding 2 to get the next even numbers.
- 12 (closest even number to 11)
- 14 (12 + 2)
- 16 (14 + 2)
- 18 (16 + 2)
Therefore, four consecutive even numbers between 11 and 25 are 12, 14, 16, and 18.
Frequently Asked Questions on Even Numbers
- What is an even number?
- An even number is an integer that is divisible by 2 without leaving a remainder.
- Can even numbers be negative?
- Yes, even numbers can be negative as long as they are divisible by 2.
- Is zero an even number?
- Yes, zero is an even number as it is divisible by 2 without leaving a remainder.
- What is the sum of two even numbers?
- The sum of two even numbers is always even.
- How do even numbers behave in multiplication?
- The product of two even numbers is always even.
- Can an odd number be an even number?
- No, odd and even numbers are mutually exclusive. A number cannot be both odd and even.
- Are all whole numbers even?
- No, not all whole numbers are even. Whole numbers include both even and odd numbers.
- What is the pattern of even numbers?
- The pattern of even numbers is 2, 4, 6, 8, 10, and so on, where each number is obtained by adding 2 to the previous one.
- Can there be consecutive even numbers?
- Yes, consecutive even numbers are even integers that follow one after another in sequence, such as 2, 4, 6, and so forth.
