When 33 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true?
Choose the most appropriate option.
A) 1
B) 2
C) 3
D) 4
E) 5
This means that 30 must be a multiple of k.   The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.   Out of these, k can be 5, 6, 10, 15, and 30.   The answer is 5.
<result>E</result>
When 33 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true?