Question

Write the prime numbers between 50 to 100.

Answer 1

Hint: In this question, we have been asked to write the prime numbers between $50$ to $100$. First, read about prime numbers. Then find the prime numbers between the given limit and write them.

Complete step-by-step solution:
We have to write the prime numbers between $50$ to $100$. But first, let us know about prime numbers and composite numbers.
What are prime numbers?
Prime numbers are those numbers which have only two factors –> 1, and the number itself. For example: the number $13$ has only two factors that are 1 and 13.
What are composite numbers?
Composite numbers are those numbers which have more than 2 factors. For example: the number $27$ has the following factors - $1$, $3$, $9$, $27$. Since the factors are more than two, 27 is a composite number.
It must be understood that the number ‘1’ is neither composite, nor prime as it has only 1 factor.
Moving towards the question,
We have to find all those numbers between $50$ to $100$ which have only two factors.
They are –
$53$, $59$, $61$, $67$, $71$, $73$, $79$, $83$, $89$, and $97$.

Hence, there are only 10 prime numbers between $50$ to $100$.

Note: We have to remember that, if you find it difficult to find the prime numbers, then follow the following steps and you will be able to locate them easily.
Eliminate all the even numbers. (Numbers ending with $0$, $2$, $4$, $6$, $8$.)
Eliminate all the numbers ending with $5$.
Eliminate the numbers divisible by $3,7,11$.
Usually, it filters the maximum of the numbers but if any composite number is left, then use divisibility rules to find the prime numbers.