What are Even Numbers?

Even numbers are integers that are completely divisible by 2, i.e., 6, 10, 20, 50, etc., whereas an odd number is a number that cannot be divided by 2 completely. To understand the concept of even numbers in a detailed way, you need to learn the properties of even numbers along with the definition & examples. We have covered all the important concepts, like the first 50 even numbers chart, even numbers up to 100, and properties of addition, division, and subtraction, along with solved examples and practice questions.

Table of Contents

• What is an even number?
• List of Even Numbers up to 100
• Properties of Even Numbers
• Property of Addition
• Property of Subtraction
• Property of Multiplication
• Even Numbers between 50 and 70
• Even Numbers Solved Problems
• FAQs

What is an even number?

Any number that is completely divisible by 2 is called an even number. The last digit of even numbers is 0, 2, 4, 6, or 8. Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, and 16. These are even numbers, as these numbers can easily be divided by 2. The smallest positive even natural number is 2. The numbers that cannot be divided by 2 are known as odd numbers. For example: 1, 3, 5, 7, 9, etc.

Thus, all numbers can be divided into even numbers and odd numbers. That means a number must be either even or odd.

How to Check If a Number Is Even or Odd

To find out whether the given number is odd or even, you need to check the number in the unit’s place. If that number in one’s place is 0, 2, 4, or 6, it will be an even number, but if the number in the unit place ends with 1, 3, 5, 7, or 9, it is an odd number. So, by checking the number at the unit place, we can easily tell if it is an 'odd' number or an 'even' number.

Even numbers end with 0, 2, 4, 6, or 8.

Odd numbers end with 1, 3, 5, 7, or 9.

These are the simple tricks to identify the numbers, whether they are even or not.

For example, the number 3,845,917 ends with an odd number, i.e., 3, 5, and 7. Therefore, it is an odd number. In the same way, 8,322 is an even number, as it ends with 8 and 2.

List of Even Numbers up to 100

Here is the list of even numbers up to 100:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100

Properties of Even Numbers

Three important properties of even numbers are:

• Property of Addition
• Property of Subtraction
• Property of Multiplication

Property of Addition

• Adding even and odd (or vice versa), the resulting number is always odd.

           Example: 8 + 5 = 13.

                5 + 18 = 23

• Adding even and even, the resulting number is always even.

          Example: 12+8 = 20

• Adding odd and odd, the resulting number is always even.

          Example: 13 + 9 = 22

Property of Subtraction

• Subtracting even from odd (or vice versa), the resulting number is always odd.

            Ex: 7 – 4 = 3,

            10 – 5 = 5

• Subtracting even from even, the resulting number is always even.

           Ex: 16 – 6 = 10

• Subtracting odd from odd, the resulting number is always even.

          Ex: 21 – 13 = 8

Property of Multiplication

• Multiplying even and even will always result in an even number.

          Example: 6 × 4 = 24.

          12 × 4 = 48

• Multiplying even and odd numbers will result in an even number.

          Example: 4 × 5 = 20.

          6 × 3 = 18

• Multiplying odd and odd numbers will always give an odd number.

           Example: 3 × 5 = 15.

           5 × 9 = 45

Even numbers between 50 and 70

Let us have a look at the list of even numbers between 50 and 70.

52, 54, 56, 58, 60, 62, 64, 66, 68

Thus, there are a total of 9 even numbers between 50 and 70.

Let’s go through the even-number sample problems & solutions to build conceptual fluency.

Even Numbers Solved Problems

Example 1:

Are all whole numbers even?

Solution: No, the list of whole numbers that are exactly divisible by two is called the even numbers.

Example 2:

Write any four consecutive even numbers between 11 and 19.

Solution: Let A = {11, 12, 13, 14, 15, 16, 17, 18, 19}

Therefore, 12, 14, 16 and 18 are 4 consecutive even numbers.

Example 3:

Choose the correct answer. The sum of two even numbers

a) is always an even number

b) is always an odd number

c) is sometimes odd and sometimes even

d) may be neither odd nor even

Solution:

The correct answer is option a). Even number + Even number = Even number

Frequently Asked Questions on Even Numbers

1. What are even numbers?

Answer: Whole numbers that are completely divisible by 2 are called even numbers.

2. Is zero (0) an even number or an odd number?

Answer: Zero is an even number, as it gets completely divided by 2. 

3. What is the difference between odd numbers and even numbers?

Answer: An even number is completely divisible by 2 without a remainder, but odd numbers are not completely divisible by 2.

4. Which is the largest 4-digit even number?

Answer: 9998 is the largest 4-digit even number.