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Even numbers and their properties

The numbers which satisfy the equation of n=2k are called even numbers where k is any integral. This article provides a detailed look at the concept of even numbers. Read the full article!

An even number can be divided by two into two equal integers. When divided by two, an even number produces a whole number. The equation n = 2k, where k is an integer, accurately represents this statement. It can be a positive or negative integer integrally divisible by two. Numbers that are not even are odd. A number’s oddness is defined as its parity. The parity of an odd number is one, while that of an even number is zero. We will further read what even numbers are in detail. We will also discuss the concepts of odd and even numbers. 

Even Numbers:

As discussed above, An even number is divisible by two and leaves a 0 as a leftover. Any number which is divisible by two is considered an even number. It can be seen with the help of the following example. Tom eats four apples. All the apples can be grouped in pairs of two in this case. Thus, we didn’t get any leftovers. Thus four is an even number. Similarly, we can classify which numbers are even and which are not. 

Here is a list of even numbers between 0 and 100.

 

2

22

42

62

82

4

24

44

64

84

6

26

46

66

86

8

28

48

68

88

10

30

50

70

90

12

32

52

72

92

14

34

54

74

94

16

36

56

76

96

18

38

58

78

98

20

40

60

80

100

What are Even numbers:

As we know, each number follows some property. Similarly, even numbers follow some properties. Now to know what even numbers are, read the properties mentioned below. Here are the properties of even numbers listed.

  1. Addition Property:

  • The sum of two even numbers is always an even number. For example, 14 + 14 = 28.

  • Adding an even number and an odd number results in an odd number. For instance, 18 + 9 = 27.

  • When we add Two odd numbers, we get an even number. To illustrate, 3 + 3 = 6.

  1. Subtraction Property

  • The subtraction of two even numbers gives an even number. For instance, 22 – 2 =20.

  • The difference obtained between an even and an odd number results in an odd number. As an example, 23 -18 = 5.

  • The subtraction of two odd numbers produces an even number. For example, 21 – 11 = 10.

  1. Multiplication Property:

  • The multiplication of two even numbers gives an even number. For instance, 20 x 20 = 400.

  • The product that multiples an even number by an odd number is an even number. As an example, 7 x 30 = 210.

  • The multiplication of two odd numbers results in an odd number. For example, 9 x 3 = 27.

Even and Odd Numbers:

We have discussed many even numbers. Let’s see what odd numbers are. Every alternate number starting with 1 is an odd number. It isn’t a multiple of two. Odd numbers are those whole integers that can not be divided into pairs. Apart from this, odd numbers are not divisible by two as well. We can say that those numbers, not multiples of 2, are odd in very simple words. For example, 5, 13, 7, 9, etc.

The formula 2n ±1 is the general form of an odd number in which ‘n’ is a natural number. The result of this will always be an odd number as it is an equation of an odd number.

Here is a list of odd numbers between 0 and 100 are:



1

3

5

7

9

11

13

15

17

19

21

23

25

27

29

31

33

35

37

39

41

43

45

47

49

51

53

55

57

59

61

63

65

67

69

71

73

75

77

79

81

83

85

87

89

91

93

95

97

99

Conclusion:

Hence it is concluded that the even numbers are the numbers that can be divisible by 2. Its opposite odd numbers are the numbers that can not be divided by 2. There is always a leftover found in case of odd numbers. In this article, we discussed what even numbers are. We also learnt the properties of even numbers.

 

Further, we understood the concept of both even and odd numbers. After reading this article, I hope all the concepts related to even numbers will be clear.



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What are even numbers?

Ans : . Any number which is divisible by two is considered an even numb...Read full

What are odd numbers?

Ans : Every alternate number starting with 1 is an odd number. It isn’t ...Read full

What are the formulas for even and odd numbers?

Ans : . The formulas for even and odd numbers ...Read full

List down the multiplication property of even numbers.

Ans : Even numbers’ multiplication property is as follows: ...Read full

Would we be able to say the division is affiliated with numbers?

Ans : Yes, we can say the division is affiliated with integers. ...Read full