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If n is the product of the integers from 1 to 20 inclusive, what is the greatest integer k for which 2k is a factor of n?
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1到20中因数里含有2的数有2、4、6、8、10、12、14、16、18、20十个数字。
其中，2、6、10、14、18中只有一个2（2=2*1,6=2*3等），这几个数字中共有5个2.
在4和12、20中分别含有2的平方（4=2的平方，12=2的平方*3等），共有6个2.
8=2的三次方，则8含有3个2.
同理，16=2的四次方，16中有4个2.
所以含2的数字的总共有5+6+3+4=18个
默默
做这种题的步骤： 1，找出有幂值因子的数 2，再看看他们到底能包含几个幂
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2018-04-22 13:57:11
默默回复默默
再将个数相加
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2018-04-22 13:57:28
mmxx
1*2*3*···*19*20 ,求有几个2相乘
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2017-09-19 11:57:18
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