Odd and Even Numbers from 1 to 100
1
2
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15
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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
- The sum of any two even numbers is always even
- The sum of any two odd numbers is always even
- The sum of an even and odd number is always odd
- The product of any number with an even number is always even
- The product of two odd numbers is always odd
- Square of an even number is even, square of an odd number is odd
- 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