If P, Q, and R are distinct positive digits and the product of the two-digit integers PQ and PR is 221, what is the sum of the digits P, Q, and R?  Select the correct option.
A) 5
B) 11
C) 13
D) 21
E) 23

Rationale: factor out 221 221 = 13 * 17 thus pq = 13 & pr = 17 or vice versa thus p = 1 , q = 3 & r = 7 sum = 1 + 3 + 7 = 11 answer : b
Answer: B