Even and odd numbers

Even numbers

 Any number that can be shared evenly for two groups without breaking it, is called an even numbers.

Example
 I have 4 apples and I wants to split equally and give this to A and B. 2 apples for A and 2 apples for B. Here I splited and gave equal number of apples to each and no apples remaining.

 Mathematically, any integer that can be divided by 2 is an even number.
2,4,6,8,10,12...  are even numbers.

Odd numbers

 Any number that cannot be shared evenly for two groups is called an odd number.

Example
 I have 5 apples and I give 2apples to A and 2apples to B equally, but 1 more apple remains.
 Mathematically, any integer which cannot be divided by 2 is odd number.
1,3,5,7,9,11... are odd numbers

Addition

Odd number + Odd number = Even number (3+7=10)
Even number + Even number = Even number (4+2=6)
Odd number + Even number = Odd number (3+4=7)
Even number + odd number = Odd number (6+1=7)

Multiplication

Odd number * Odd number = Odd number (5*3=15)
Even number * Even number = Even number (6*8=48)
Odd number * Even number = Even number (5*10=50)
Even number * Odd number = Even number (4*7=28)

Zero

Let us assume 0 be an odd number,
 Odd + odd = even
Here, 0 + 0 = 0 ( but we considered 0 be an odd number)
Hence in this case we cannot able to say odd + odd = even

So 0 is not an odd number

Now, let us assume 0 be an even number

Odd + even = odd
3 + 0 = 3

Similarly, it will holds good for all other laws.

Hence 0 be an Even number.