ExplanationThis problem is most easily solved with an example. If p = 7 and q = 6, then pg = 42, which has the factors 1 & 42, 2 & 21, 3 & 14, and 6 & 7. That’s 8 factors, but read carefully!

The question asks how many factors greater than 1, so the answer is 7. Note that choosing the smallest possible examples (p = 7 and q = 6) was the right move here, since the question asks “at least how many factors … ?” If testing p = 70 and q = 36, many, many more factors would have resulted.

The question asks for the minimum.

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Sandy

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