Odd and Even Numbers from 1 to 100

Odd and Even Numbers from 1 to 100

Odd and Even Numbers from 1 to 100

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100

Complete Lists

Even Numbers (1-100)

There are 50 even numbers between 1 and 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

Odd Numbers (1-100)

There are 50 odd numbers between 1 and 100:

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

Properties of Odd and Even Numbers

Operation Even + Even Even + Odd Odd + Odd
Addition Even (2+4=6) Odd (2+3=5) Even (3+5=8)
Subtraction Even (6-2=4) Odd (4-3=1) Even (7-3=4)
Multiplication Even (2×4=8) Even (2×3=6) Odd (3×5=15)
Division May be either (4÷2=2) May be either (6÷3=2) May be either (9÷3=3)

Key Differences

  • Divisibility: Even numbers are divisible by 2 (2, 4, 6,...), odd numbers are not (1, 3, 5,...)
  • Ending Digit: Even numbers end with 0, 2, 4, 6, or 8; odd numbers end with 1, 3, 5, 7, or 9
  • Consecutive Numbers: Every integer is either odd or even, and they alternate in sequence
  • Zero: 0 is considered an even number (it's divisible by 2 with no remainder)
  • Prime Numbers: All prime numbers except 2 are odd numbers

Interesting Patterns

  1. The sum of any two even numbers is always even
  2. The sum of any two odd numbers is always even
  3. The sum of an even and odd number is always odd
  4. The product of any number with an even number is always even
  5. The product of two odd numbers is always odd
  6. Square of an even number is even, square of an odd number is odd
  7. Cube of an even number is even, cube of an odd number is odd

Real-World Applications

Even Numbers

  • Pairing: Used when items need to be grouped in pairs (shoes, gloves)
  • Timekeeping: 24 hours in a day, 60 minutes in an hour
  • Sports: Team sizes (2 players in doubles tennis, 6 in volleyball)
  • Computers: Binary systems, memory addressing

Odd Numbers

  • Balance: Used in design for asymmetrical balance
  • Competitions: Often used for tournament brackets
  • Measurement: Common in cooking measurements (1/3 cup, 1/2 teaspoon)
  • Security: Used in encryption algorithms