How many prime numbers are there between 301 and 320?

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answer is C.

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Detailed Solution

Concept- A prime number would be a whole number greater than one with only the number one and itself as factors. Composite numbers are those that have more than two factors. One seems to be neither prime nor composite.
The numbers between 301 and 320 are
302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319
Here,

are not prime numbers because they are also divisible by 2.
Similarly,

are not prime numbers because they are also divisible by 3.

will not be prime numbers because they are divisible by

is also not a prime number because it is divisible by 11.
Now, we have 307,311,313,317.
Therefore, there are four prime numbers between 301 and 320.
Hence, the correct answer is option 3.

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