**Prime Numbers **

Prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself

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

**Composite Numbers**

Composite numbers are divisible by one or more numbers other than 1 and itself.

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

**Examples of Prime Numbers**

**Example 1**

Is 2 is a Prime number?

**Solution**

Factors of 2 are

2 ÷ 1

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

therefore, 2 is Prime number.

**Example 2**

Is 6 is a Prime number?

**Solution**

Factors of 6 are

6 ÷ 1 = 6

6 ÷ 2 = 3

6 ÷ 3 = 2

6 ÷ 6 = 1

6 is divisible by 1 , 2 , 3 and 6

therefore, 6 is not a Prime number.

**Example 3**

Is 7 is a Prime number?

**Solution**

Factors of 7 are 7 x 1

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

therefore, 7 is Prime number.

**Example 4**

Is 12 is a Prime number?

**Solution**

Factors of 12 are

12 ÷ 1 = 12

12 ÷ 2 = 6

12 ÷ 3 = 4

12 ÷ 4 = 3

12 ÷ 6 = 2

12 ÷ 12 = 1

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

therefore, 12 is not a Prime number.

**Examples of Composite Numbers**

**Example 1**

Is 4 is a Composite number?

**Solution**

Factors of 4 are

4 ÷ 1 = 4

4 ÷ 2 = 2

Factors of 4 are 1 , 4 and 2

Therefore, 4 has more than two factors.

Hence, 4 is a Composite number.

**Example 2**

Is 2 is a Composite number?

**Solution**

Factors of 2 are

2 ÷ 1 = 2

Factors of 2 are 1 and 2

Therefore, 2 does not have more than two factors.

Hence, 2 is not a Composite number.

**Example 3**

Is 9 is a Composite number?

**Solution**

Factors of 9 are 1 x 9 , 3 x 3 and 9 x 1

Factors of 9 are 1 , 3 and 9

Therefore, 9 has more than two factors.

Hence, 9 is a Composite number.

**Example 4**

Is 13 is a Composite number?

**Solution**

Factors of 13 are 1 x 13

Factors of 13 are 1 and 13

Therefore, 13 does not have more than two factors.

Hence, 13 is not a Composite number.

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