Question

What is a prime number between 10 and 20?

Answer 1

Hint: First we need to understand the term ‘prime number’. Now, to find a prime number between 10 and 20 check the numbers which have only two factors, i.e. 1 and the number itself. Select any one of such numbers in the given range of numbers and get the answer.

Complete step by step solution:
Here we have been asked to write a prime number between the numbers 10 and 20. First we need to understand the term ‘prime number’.
Now, a prime number is a number that has only two factors. The two factors are 1 and the number itself. For example: - let us select 3, we can see that 3 can be divided with only two numbers, they are 1 and 3, so 3 is a prime number. Similarly, we have 2, 5, 7 etc. as the other examples.
Let us come to the question. We need to find a prime number between 10 and 20. Let us check the numbers one by one.
First we have 11, so 11 can be divided with 1 and 11 only so it is a prime number. Next we have 12, it is divisible with 1, 2, 3, 4, 6 and 12 so there are more than 2 factors therefore it is not a prime number. Moving ahead we have 13, 17 and 19 as the prime numbers and 14, 15, 16 and 18 are not prime.

Hence, prime numbers between 10 and 20 are 11, 13, 17 and 19, so you can select any one as the answer.

Note: Note that the numbers which are not primes are called composite numbers, i.e. numbers having more than 2 factors or numbers having factors other than 1 and the number itself. 1 is neither a prime nor a composite number so the smallest prime number is 2 and the smallest composite number is 4. The concept of prime and composite numbers are only for the set of natural numbers.