We come across the two types of Numbers
namely composite and Prime Numbers
. The numbers which have only two factors 1 and the number itself are all called prime numbers. On another hand we say that the numbers which are divisible by not only one and itself but other numbers too are called composite numbers.
The number 2 is divisible by 1 and itself and not by any other number. So we say that 2 is a prime number. So, we say that the multiples of 2 which are 4, 5, 8, ..... are composite numbers. Now proceeding further we observe that all Even Numbers
are divisible by at least 1, 2, and the number itself. So we say that all even numbers are composite numbers except 2. So we say that the only prime even number is 2.
Now we take another number say 3, again we observe that 3 is divisible by 1 and itself. So we say that 3 is also a prime number. It does not Mean
that all the Odd Numbers
are prime numbers. If we look at the multiples of 3, which are 6, 9, 12, 15, 18, 21 ….. they are both even numbers as well as odd numbers. Similarly, we observe that the number 5 has no factor except 1 and 5. So we say that 5 is also a prime number.
Let us look at the different prime numbers now 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 ….. are all prime numbers. Here we find 2 is the even number and rest all are odd numbers. Also remember that 1 is neither a prime nor a Composite Number
. All the multiples of the prime numbers are composite, without consideration of even or odd number.