Question

What is the sum of all prime numbers between 100 and 120?
A.652
B.650
C.644
D.533

Answer 1

Hint: To get the sum of all prime numbers in between 100 and 120 we will write first all the primes numbers in between 100 and 120 then algebraically we will add all the prime numbers such that we will get the required answer.

Complete step-by-step answer:
We have to find the sum of the prime numbers between 100 and 120.
So first of all we have to know what is a prime number.
We know some natural numbers which are divisible by only 1 and self like 2, 3, 5, 7, 11 and so on. These types of numbers have only two factors 1 and the number itself. So we can say those numbers which have only two factors 1 and the number itself are called prime numbers.
In this problem we have to find the sum of prime numbers in between 100 and120.
So the prime numbers in between 100 and 120 are 101, 103, 107, 109 and 113.
Now we find the sum of all those prime numbers
We get,
\[101 + 103 + 107 + 109 + 113 = 533\]
Hence the sum of all prime numbers in between 100 and 120 is 533.

Note: In this solution we have seen 105 is not a prime number while 109 is a prime number so do not think that 9 is not prime so 109 will also be non prime similarly 5 is prime while 105 is not prime so be aware of these imaginations.