When 16 is divided by the positive integer k, the remainder is 1, for how many different values of k is this true?
Choose the correct choice from the following choices.
A) 1
B) 2
C) 3
D) 5
E) 6
When 16 is divided by k, remainder is 1 i.e. there is 1 ball leftover after grouping. so k must be greater than 1.   It also means that 15 is completely divisible by k.   Factors of 15 are 1, 3, 5, 15   Out of these, k can be 3, 5 and 15.   Answer (3)
<result>C</result>
When 16 is divided by the positive integer k, the remainder is 1, for how many different values of k is this true?