TYPE OF NATURAL NUMBER

Natural Numbers are divided into three type - (1) Prime Number           (2) composite Number, (3)Neither Prime nor Composite Number.               

(1) Prime Number : The natural number which are divisible by one(1) and himself only is none as Prime number. Example of prime numbers

2,3,5,7,11,23,17,19,13,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,93,97 etc.

If we divide these types of number by any other number except 1 and itself we see that they can not be divided exactly .

(2). Composite Number : The natural number which has minimum three factors or more than two factors is known as Composite Number. Examples of composite number are -

4 = 1×2×2

6 = 1×2×3 

8 = 2×2×2

etc.

NOTE : 

(1) Most smallest composite number is 4.

(2) Most smallest even Composite number is 4 (1×2×2) .

(3) most smallest odd composite number is   9 (1×3×3) .

(4) 1×1×2  , 1×1×3 are the Composite number ?

The answer Will be definitely not . These types of number are not consider as Composite number . 

(3) . Neither Prime nor Composite Number : 

The natural number "1" is only a number in math which is neither Prime nor Composite number .