2. 外语
  3. n is an even integer. Column A Column B The number of different prime factors of n

n is an even integer. Column A Column B The number of different prime factors of n

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问题 n is an even integer.

Column A                                           Column B
The number of different prime factors of n         The number of different prime factors of 2n
选项 A、if the quantity in Column A is greater
B、if the quantity in Column B is greater
C、if the two quantity are equal
D、if the relationship cannot be determined from the information given
答案C
解析 本题的正确答案为(C)。比较的左项为n的不同质因子(prime factor)数，比较的右项为2n的不同质因子数。对于2来说，只有1个质因子，即2本身；而n为偶数，所以2本来就是n的质因子，因此，n与2n的质因子数相同。
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