Question

What is a prime number between $ 40 $ and $ 50 $ ?

Answer 1

Hint: A prime number can be defined as the positive integer which is having exactly two factors. If “n” is the prime number then it has only two factors that is the number itself “n” and the number here, we will find the factors for all the numbers between the two given numbers.

Complete step-by-step answer:
Composite numbers are the numbers which can be expressed as the multiple of prime numbers. For example: $ 4 = 2 \times 2 $ composite number is expressed as the product of two prime numbers in this case. Remember one number is neither prime nor composite.
Given numbers are $ 40 $ and $ 50 $
 $
  41 = 1,41 \\
  42 = 1,2,3,6,7,42 \\
  43 = 1,43 \\
  44 = 1,2,22,11,44 \\
  45 = 1,3,5,15,45 \\
  46 = 1,2,23,46 \\
  47 = 1,47 \\
  48 = 1,2,3,4,6,8,48 \\
  49 = 1,7,49 \\
  50 = 1,2,5,10,25,50 \;
  $
Therefore, finding the numbers having two factors – the number itself and the number one.
Hence, the prime numbers between $ 40 $ and $ 50 $ are $ 41,43 $ and $ 47 $
So, the correct answer is “ $ 41,43 $ and $ 47 $ ”.

Note: Always remember that the number $ 1 $ is neither prime nor composite. Be good in multiples and division to get the prime number. Know the difference between the prime numbers and the composite numbers and apply accordingly.