**Prime Numbers**

Prime number is a natural number, which is greater than 1 and does not has any positive divisors other than 1 and the number itself

In other words, we can say prime numbers don’t have any factor other than 1 and the number itself.

**Composite Numbers**

Composite numbers are those numbers which are divisible by one or more numbers, other than 1 and the number itself.

In other words, we can say that numbers having more than two factors are composite numbers.

## Prime Numbers and Composite Numbers

**Examples of Prime Numbers**

**Question 1**

Which of the following is a prime number?

10, 3, 4, 9

**Explanation**

Prime number is a natural number, which is greater than 1 and does not has any positive divisors other than 1 and the number itself

In other words, we can say prime numbers don’t have any factor other than 1 and the number itself.

Factors of 10 are 5 x 2

Factors of 3 are 3 x 1

Factors of 4 are 2 x 2

Factors of 9 are 3 x 3

Here, Factors of 3 are 3 x 1

3 is not divisible by any other number, other than 1 and itself

therefore, 3 is a prime number.

**Question 2**

Which of the following is a prime number?

14, 18, 24, 7

**Explanation**

Prime number is a natural number, which is greater than 1 and does not has any positive divisors other than 1 and the number itself

In other words, we can say prime numbers don’t have any factor other than 1 and the number itself.

Factors of 14 are 7 x 2

Factors of 18 are 3 x 3 x 2

Factors of 24 are 3 x 2 x 2 x 2

Factors of 7 are 7 x 1

Here, Factors of 7 are 7 x 1

7 is not divisible by any other number, other than 1 and itself

therefore, 7 is a prime number.

**Examples of Composite Numbers**

**Question 1**

Which of the following is a composite number?

2, 6, 3, 5

**Explanation**

Composite numbers are those numbers which are divisible by one or more numbers, other than 1 and the number itself.

In other words, we can say that numbers having more than two factors are composite numbers.

Factors of 2 are 2 x 1

Factors of 6 are 2 x 3

Factors of 3 are 3 x 1

Factors of 5 are 5 x 1

Here, Factors of 6 are 2 x 3

6 is divisible by 2 , 3 , 1 , 6

Factors of 6 are 2 , 3 , 1 , 6

therefore, 6 is composite number.

**Question 2**

Which of the following is a composite number?

12, 7, 13, 11

**Explanation**

Composite numbers are those numbers which are divisible by one or more numbers, other than 1 and the number itself.

In other words, we can say that numbers having more than two factors are composite numbers.

Factors of 12 are 3 x 2 x 2

Factors of 7 are 7 x 1

Factors of 13 are 13 x 1

Factors of 11 are 11 x 1

Here, Factors of 12 are 3 x 2 x 2

12 is divisible by 3 , 2 , 1 , 6 , 4 , 12

Factors of 12 are 3 , 2 , 1 , 6 , 4 , 12

therefore, 12 is composite number.

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