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Column A Column BThe number of di
Column A Column BThe number of di
游客
2024-01-12
45
管理
问题
Column A Column B
The number of different prime factors of 48 The number of different prime factors of 72
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)。对于求质因子个数的题,一般都要先把它们写成质因子相乘的形式:
可以发现两者各有两相同质因子2,3。注意不要把题目问的质因子数与因子数相混,否则就会错误地得到48的因子数(4+1)×(1+1)=10比72的因子数(3+1)×(2+1)=12少。
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