The concept of even numbers have been covered in this lesson in a detailed way. Along with the even numbers definition, the other important concepts like first 50 even numbers chart, and even numbers properties of addition, division, and subtractopm are also covered along with solved examples and practice questions.
What are even numbers?
Any number that can be exactly divided by 2 is called as an even number. Even numbers always end up with the last digit as 0, 2, 4, 6 or 8. For example – 2, 4, 6, 8, 10, 12, 14, 16 are even numbers as these numbers can easily be divided by 2. It should be noted that the smallest positive even number is 2.
If you pick a number that cannot be divided by 2 is known as Odd Number. For Example- 1,3,5,7,9
List of First 100 Even Numbers:
Is It Even or Odd?
To find out whether the given number is odd or even, you need to check the number in the one’s (or unit’s) place. That particular number in one’s place will tell you whether the number is odd or even.
- Even numbers end with 0,2,4,6,8
- Odd Numbers end with 1,3,5,7,9
Think about the number 3,842,917 which ends with an odd number i.e 7. Therefore, the given number 3,842,917 is an odd number. Thus the number is not an even number
Same way, 8,322 is an even number as it ends with 2.
Even Numbers Properties
Property of Addition
- Adding Even and Odd (or vice-versa), the resulting number is always Odd.
Ex: 8 + 5 = 13,
5 + 18 = 23
- Adding Even and Even, the resulting number is always Even.
Ex: 12+8 = 20
- Adding Odd and Odd, the resulting number is always Even.
Ex: 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.
Ex: 6 × 4 = 24,
12 × 4 = 48
- Multiplying even and odd numbers will result in an even number.
Ex: 4 × 5 = 20,
6 × 3 = 18
- Multiplying odd and odd numbers will always give an odd number.
Ex: 3 × 5 = 15,
5 × 9 = 45
Practice Questions on Even Numbers
- What are the even numbers from 1 to 100?
- How to know if a number is even?
- What is the first even number?
- Why zero is an even number?
- What is the smallest even number?
This was all about even numbers, to learn more about the concepts of odd numbers, number system, visit our site BYJU’S.