EVEN NUMBERS

EVEN NUMBERS: 2 , 4, 6, 8, 10 ........2n
When a number is divided by 2 if it leaves a remainder of 0 then it is an even number.
Product  rule:
even x even = even: 2 x 4=8
even x even x even = even; 2 x 4 x 6=48
odd x odd x odd x odd=odd; 2 x 4 x 6 x 8=368
NOTE: product of n even numbers is always even.

Sum rule:
even + even = even ;  2 + 4 =6
even + even  + even =  even ; 2+ 4+6=12
even + even + even + even = even; 2+4+6+8=20
even + even + even +even + even =even: 2+4+6+8+10=30

Sum of even number of even numbers (which is indicated in blue in the above) is always even
Sum of odd number of even numbers (which is indicated in black in the above) is always even.
Sum of first n positive even integers is n2+n;
even power of any positive integer is always even: even(positive integer)=even 
  43=64, 104=10000

odd + even = odd
odd-even =odd
odd x even= even
S-BATCH