可以问一下寂静一百二十漆题么

irislintian

想问一下为什么 m (m+1+3) (m+2+3) 可以被3整除阿？ 下个礼拜1就考试了 谢谢大家！

sdcar2010

m mod 3 = (m+3) mod 3

so m (m+1+3) (m+2+3) mod 3 = (m+3) (m+1+3) (m+2+3) mod 3

Among three consecutive numbers, one of them must be a multiple of 3.  So the product of three consecutive numbers must have a factor of 3.

irislintian

谢谢sdcar大人，我正在想您会不会帮忙回答这个题呢。。。