Concept of Even and Odd Number

Even Number: A number ending in 0, 2, 4, 6, or 8 is an even number.

Odd Number: A number ending in 1, 3, 5, 7, or 9 is an odd number.

1. The sum of three odd numbers is an odd number. 
   Example: 3 + 5 + 7 = 15, i.e., odd.
2. The sum of two odd numbers and one even number is even.
   Example: 3 + 5 + 6 = 14, i.e., even.
3. The product of three odd numbers is odd. 
   Example: 3 × 5 × 7 = 105, i.e., odd.
4. Prime numbers are both even and odd. 2 is the smallest prime number that is even. Every prime number except 2 is odd.
5. The sum of the two prime numbers is both even and odd.
   Example: 2 + 3 = 5 (odd).
                    3 + 5 = 8 (even).
6. All even numbers are composite numbers except 2, which is a prime number.
7. The product of two even numbers is always even.
   Example: 2 × 4 = 8, i.e., even.

Sharing:
If you have 16 candies and share equally with a friend, both get 8 each—16 is even.
With 17 candies, both get 8, but 1 is left—17 is odd.

School Teams:
If a class has 24 students, they can form 12 pairs with none left over (even). But if there are 25 students, one student is left without a partner (odd).

Even numbers: divide exactly by 2 and end in 0, 2, 4, 6, or 8.

Odd numbers always leave 1 left if split into two equal groups and end in 1, 3, 5, 7, or 9.

Addition and multiplication of even/odd numbers follow predictable patterns.