When 30 is divided by the positive integer k, the remainder is 6, for how many different values of k is this true?  Pick one.
A) 2 B) 3 C) 5 D) 7 E) 8
When 30 is divided by k, remainder is 6 i.e. there are 6 balls leftover after grouping. so k must be greater than 6.   It also means that 30 is completely divisible by k.   Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24   Out of these, k can be 4, 6, 8, 12, 24.   Answer (5)
<result>C</result>
When 30 is divided by the positive integer k, the remainder is 6, for how many different values of k is this true?