Questions & Answers

Question

Answers

A. 1

B. 2

C. 3

D. 4

Answer
Verified

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.

__Complete step-by-step 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.

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.

×

Sorry!, This page is not available for now to bookmark.