2. 外语
  3. If an integer n is divisible by both 12 and 15, it must also be divisible by which of the following?

If an integer n is divisible by both 12 and 15, it must also be divisible by which of the following?

admin2022-12-09  17
问题 If an integer n is divisible by both 12 and 15, it must also be divisible by which of the following?
选项 A、25
B、16
C、30
D、40
E、70
答案C
解析 12=22×3，15=3×5，而n能够被12和15整除，那么n就至少具有因子22，31，51，选项中哪个数能够由上面因子中的一个或者几个相乘得到，那么这个数就一定能够整除n；25具有两个因子5，不行；16具有4个因子2，也不行；30=2×3×5，2，3，5全部可以为n的因子，因此30一定能够整除n，选择C。
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