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Last updated date: 09th Dec 2023
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# Write the set of all prime numbers between $20$ and $50$ .

The question asks us what are the prime numbers between $20$ and $50$. Prime numbers are exactly two factors which are one and number itself, so numbers given in the set are starting from $21$ . Since a prime number has only two factors, all the even numbers will not be prime numbers as it will also have $2$ as one of its factors. Now moving to the odd numbers we see that $21$ also has a factor $3$, so it is also not a prime number. Checking the odd numbers like this we see that the numbers which are divisible just by the number itself and one are $23,29,31,37,41,43$ and $47$.
$\therefore$ The set of numbers which are prime between $20$ and $50$ are $23,29,31,37,41,43$ and $47$.
Note: A prime number is a natural number greater than one that is not a product of two smaller natural numbers a natural number greater than one that is not a prime number is called a composite number in other words prime number is only divisible by $1$ and the number itself. Do remember that the only even number which is a prime number is $2$.