做一道旧题

打印 被阅读次数

https://bbs.wenxuecity.com/netiq/138479.html

从1001到4999, 去掉千位上的数字,剩下的数有多少是原四位数的因子?

1. 1000=2^3×5^3 

故1000有16个因子,其中15个小于1000.

2. 2000=2^4×5^3, 2000有20个因子,小于1000的有18个。

类似的3000有32个因子,小于1000的有29个。

4000有24个因子,小于1000的有21个。

总计  15+18+29+21=83个

 

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