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.