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# Number of prime numbers between 50 to 60 is:A. 1B. 2C. 3D. 4  Hint:We are asked to find the prime numbers. So we will start from 50 one by one, and see if this is a prime number or not by writing all the factors of it and then we will check for 51 and so on upto 60 and eventually we will get our answer.

A prime number is one that have only two factors 1 and the number itself
Factors of 50 are 2, 5, 10 and 50, So this is not a prime number
Factors of 51 are 1, 3, 13 etc, so this is also not a prime number
Factors of 52 are 1, 2, 4, etc, so this is also not a prime number
Factors of 53 are 1 and 53 itself, therefore 53 is a prime number
Similarly, 54, 55, 56, 57, 58 are also not prime numbers
Factors of 59 are 1 and 59 itself, therefore it is a prime number
Factors of 60 are 1, 2, 3, 4 etc, so it is also not a prime number
So, we have only two prime numbers between 50 and 60.
∴ the correct option is ‘B’.

Note: This Question can be solved by using one more method by dividing the number by prime number, first divide it by 2,and see if you get a whole number. If you do, it can be a prime number. If you don’t, next try dividing it by prime numbers 3, 5, 7,11 and so on, always dividing by a prime number.
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