Problem Solving (PS) | Todd tells Juanita that he is thinking of a 3-digit positive integer.

Todd tells Juanita that he is thinking of a 3-digit positive integer. The integer has 12 positive factors. The sum of two of its factors is 23 and the difference of those factors is 1. What numbers is Todd thinking for?

(A) 132
(B) 144
(C) 156
(D) 192
(E) 228

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