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  3. If f and g are distinct prime numbers less than 10, which of the following cannot be the product of f and g?

If f and g are distinct prime numbers less than 10, which of the following cannot be the product of f and g?

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问题 If f and g are distinct prime numbers less than 10, which of the following cannot be the product of f and g?
选项 A、6
B、9
C、10
D、14
E、15
答案B
解析 The prime factors less than 10 are 2, 3, 5, and 7, so the product of any two of those cannot be correct. That eliminates choice A (the product of 2 and 3), C (the product of 2 and 5), D (the product of 2 and 7), and E (the product of 3 and 5). Since 9 is the product of 3 and 3, which are not distinct (or 1 and 9, which are not prime), B is the correct answer.
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