What is a Prime Number | Examples of Prime numbers

What is a Prime Number ? 

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.




Examples of Prime Numbers

Question 1

Which of the following is a prime number?
3, 6, 9

Explanation

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?

10, 15, 5

Explanation

Factors of 10 are 2 x 5 x 1
Factors of 5 are 5 x 1
Factors of 15 are 3 x 5 x 1
Here, Factors of 5 are 5 and 1
5 is not divisible by any other number, other than 1 and itself
Therefore, 5 is prime number.




Question 3

Which of the following is a prime number?

26, 13, 30

Explanation

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.

Question 4

Which of the following is a prime number?

34, 17, 51

Explanation

Factors of 34 are 2 x 17 x 1
Factors of 17 are 17 x 1
Factors of 51 are 3 x 17 x 1
Here, Factors of 17 are 17 and 1
17 is not divisible by any other number, other than 1 and itself
Therefore, 17 is prime number.

Question 5

Which of the following is a prime number?

19, 38, 57

Explanation

Factors of 38 are 2 x 19 x 1
Factors of 19 are 19 x 1
Factors of 57 are 3 x 19 x 1
Here, Factors of 19 are 19 and 1
19 is not divisible by any other number, other than 1 and itself
Therefore, 19 is prime number.

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