Even Numbers: Definition & List of Even Numbers

Know what are even numbers with examples. Also, learn to differentiate between even and odd numbers.

By Mohit ChauhanPublished : Aug 13, 2020 , 16:28 IST
Even Numbers: Definition & List of Even Numbers

Even numbers are defined as whole numbers that are multiples of 2 or end with 0, 2, 4, 6 or 8. The concept of even numbers is taught in primary school for children to differentiate between even and odd numbers. Odd numbers, on the other hand, are whole numbers that are not divisible by 2 or end with 1, 3, 5, 7 or 9. 

The list of even numbers is never-ending because the counting goes on up to infinity. To understand the even numbers, let us take examples from the even numbers list from 1 to 100 below, In this article, we will also study even prime numbers and difference between even and odd numbers. 

Examples of Even Numbers

As mentioned above, the list of even numbers contains the whole numbers that are divisible by 2. Below are the examples of even numbers between 1 and 100. 

List of Even Numbers between 1 and 100

2

12

22

32

42

52

62

72

82

92

4

14

24

34

44

54

64

74

84

94

6

16

26

36

46

56

66

76

86

96

8

18

28

38

48

58

68

78

88

98

10

20

30

40

50

60

70

80

90

100

Difference between Even and Odd Numbers

Go through the essential differences between even and odd numbers below. 

Even Numbers

Odd Numbers

1

Even numbers are multiples of 2. 

1

Odd numbers are not divisible by 2. 

2

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

2

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

3

When we divide an even number by 2, the remainder is always zero.

3

When we divide an odd number by 2, the remainder is always 1. 

4

Examples of even numbers are 2, 10, 14, 16, etc. 

4

Examples of odd numbers are 3, 5, 9, 13, 17, etc. 

Even Prime Numbers

A positive integer that has only two positive factors 1 and the number itself is called a prime number. For example, 2 is the smallest prime number as it has two factors, which are 1 and 2. Now, we will discuss what are even prime numbers. 

Below is the list of prime numbers between 1 and 100. Can you identify the even prime numbers?

List of Prime Numbers between 1 and 100

2

13

31

53

73

3

17

37

59

79

5

19

41

61

83

7

23

43

67

89

11

29

47

71

97

From the above table, it is clear that there is only one even prime number, i.e. 2. In fact, 2 is the only even prime number in Mathematics. 

Consecutive Even Numbers

Consecutive even numbers are those even numbers that follow each other continuously. The examples of consecutive even numbers are below.

  • 2, 4, 6, 8, …
  • 12, 14, 16, …
  • 34, 36, 38, ….
  • 58, 60, 62, ....
  • 86, 88, 90, 92, ...

Even Natural Numbers

Except zero, all even numbers are categorised under even natural numbers. Recall, natural numbers begin from 1 and goes on up to infinity. Look at the difference between natural and whole numbers to get a clear picture in your mind. 

Natural Numbers

Whole Numbers

Natural numbers begin from 1 and go on up to infinity. 

Zero and all natural numbers constitute the collection of whole numbers. 

We have discussed even numbers in detail which will allow you to solve questions related to even and odd numbers easily.

Maths Topics for JEE Preparation

Mensuration Formulas

Trigonometric Formulas

Permutations & Combinations JEE Notes

3D Geometry JEE Notes

Whether study material for basic concepts or competitive exams such as JEE/NEET, you can always count on our NCERT Solutions. Also, explore CBSE question papers, State Board Solutions, JEE/NEET/Class 8-10 live courses, and reference book solutions for Lakhmir Singh, RS Aggarwal, RD Sharma, etc. 

Frequently Asked Questions

  • Is zero an even number?

    Zero is an even number because it divide zero by 2, we still get zero. In other words, if you halve zero, you still get zero as the resultant.

  • What is an even prime number?

    An even prime number has only two positive factors 1 and the number itself.

  • How to calculate the HCF of two consecutive even numbers?

    The HCF of two consecutive numbers is always 2. The steps to calculate the HCF of two consecutive numbers is as follows.

    Let 2n, (2n + 2) be two consecutive even numbers

    2n = 2 x n --->(1)

    (2n + 2) = 2 (n+1) --->( 2)

    By finding the highest common factor, we get, HCF = 2


Tags

Share:

Mohit Chauhan
Written by -

Mohit Chauhan

Share:

Comments