Prime number is a natural number greater than 1 that has no 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 itself.

**For Example** – 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 are Prime Numbers.

## Questions Based on Prime Numbers

**Question 1**

Which of the following is a prime number?

3, 6, 9

**Explanation**

Prime number is a natural number greater than 1 that has no 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 itself.

Factors of 6 are 2 x 3 x 1

Factors of 3 are 3 x 1

Factors of 9 are 3 x 3 x 1

Here, Factors of 3 are 3 and 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?

26, 13, 30

**Explanation**

Prime number is a natural number greater than 1 that has no 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 itself.

Factors of 26 are 2 x 13 x 1

Factors of 13 are 13 x 1

Factors of 30 are 3 x 5 x 2 x 1

Here, Factors of 13 are 13 and 1

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

Therefore, 13 is a prime number.

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