When 17 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true?
Choose the correct choice from the following answers:  A) 1  B) 2  C) 3  D) 4  E) 5
This means that 14 must be a multiple of k.   The factors of 14 are 1, 2, 7, and 14.   Out of these, k can be 7 and 14.   The answer is 2.
<result>B</result>
When 17 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true?