The prime numbers between 10 and 20 are added together to form the number $Q$. What is the largest prime divisor of $Q$ ?
(A) 2
(B) 3
(C) 5
(D) 7
(E) 11
The prime numbers between 10 and 20 are added together to form the number $Q$. What is the largest prime divisor of $Q$ ?
(A) 2
(B) 3
(C) 5
(D) 7
(E) 11

## Solution

The prime numbers between 10 and 20 are: 11, 13, 17, and 19.

And so, $Q=11+13+17+19=60$.

Since $60=2 \times 2 \times 3 \times 5$, the largest prime divisor of $Q$ is 5 .

ANswer: (C)