Question

Write all prime numbers between 20 and 50.

$$\begin{gathered} \text{A}\text{. 21,29,33,37,41,43 and 47}\text{.} \\ \text{B}\text{. 29,33,37,39,41,43 and 47}\text{.} \\ \text{C}\text{. 23,29,31,37,41,43 and 47}\text{.} \\ \text{D}\text{. None of these}\text{.} \end{gathered}$$

Answer 1

Hint – To find the prime numbers between 20 and 50 we check for the divisibility of the numbers in between them and classify them as prime.

Complete step-by-step answer:
Prime numbers have exactly two factors i.e 1 and number itself.
So numbers given in option we will check
21,33, and 39 are not prime numbers as 21 is multiple of 3,33 is multiple of 11,39 is multiple of 13. These numbers are having factors more than two .
Hence we will eliminate these numbers from the given options.
So, 23, 29, 31, 37, 41, 43 and 47 these are the prime numbers between 20 and 50.

They are not divisible by any number other than 1 and itself.
Hence, Option C is the right answer.

Note - A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.
In other words a prime number is only divisible by 1 and itself.