When 23 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true? Select the correct option:
A) 1
B) 2
C) 3
D) 4
E) 5
This means that 20 must be a multiple of k.   The factors of 20 are 1, 2, 4, 5, 10, and 20.   Out of these, k can be 4, 5, 10, and 20.   The answer is 4.
<result>D</result>
When 23 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true?