Question

Find all the factors of 47.
This question has multiple correct options.
$
  {\text{A}}{\text{. 1}} \\
  {\text{B}}{\text{. 17}} \\
  {\text{C}}{\text{. 23}} \\
  {\text{D}}{\text{. 47}} \\
$

Answer 1

Hint: To find all the factors of 47 means that we have to find all the numbers which when expressed as a product of two numbers gives us the value ‘47’, i.e. all the divisors of 47 should be listed out.

Complete step-by-step answer:
Given Data is a number 47 and we have to find out its factors .
For finding out the factors of any number we first check if that number is prime number or not , because if the number is prime then it would become very easy to tell its factors .
Now we know that each prime number is of the form 6n+1 or 6n-1 .
Thus equating 47 to either one of them and see if the value of n is integer .
Now let us equate
So , 47 = 6n-1
solving this will give us 6n=48 , dividing both the sides by 6 will give us
n=8 , Thus 47 is a prime number .

Hence, the factors of 47 are 1 and 47.
Hence Options A, D are correct.

Note: In order to solve questions of this type the key is to identify that the given number is a prime number.
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
A natural number greater than 1 that is not prime is called a composite number. A prime number is only divisible by 1 and itself.
All the numbers that are used for counting and ordering are natural numbers.