For example: 8 can be divided evenly by 1, 2, 4 and 8, so the number 8 is a composite number. If we multiply two or more numbers and we get a new number then the new number is said to be composite numbers. If two or more numbers are combined to form a new number and new number can be even or odd but is definitely a composite number. Almost positive whole numbers are taken in case of composite number.

Any number in the mathematics which is divisible by itself and one, is known as Prime Numbers, on dividing any number we get the remainder as zero.

Now we will see is 23 a prime or composite number:

By using both definitions the number 23 is prime number because it satisfies the properties of prime numbers and violates the definition of composite number.

The number 23 is not divisible by 2; it is divisible by 1 and 23. So 23 is prime number.

The number which has more than two factors is known as composite number.

So we prove that the number 23 is prime number not composite number.

For example: check whether the number 101, 202, 223, 7, 26 and 51, and 73 are prime or composite?

Solution: we know that the numbers which are divisible by 1 and itself is known as prime numbers.

So the number 101, 223, 7 and 73 are divisible by 1 and itself. So these numbers are prime numbers.

And the numbers 202, 26, and 51 are not prime number these all are composite numbers.