n = 7 × 19³ Column A Column B The number of distinct positive factors of n 10

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问题 n = 7 × 19³

Column A                                          Column B
The number of distinct positive factors of n        10

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B

解析 本题的正确答案为(B)。任一个正整数n都可以分解为质因子(positive factor)幂(exponent)乘积的形式。对于本题中的7和19都是质数,所以7×19的3次方有(1+1)×(3+1)=8个因子,具体为:8个。
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