Question

Chứng minh aaabbb luon chia het cho37

Answer 1

aaabbb = aaa000 + bbb
= a.111.1000 + b.111
= a.3.37.1000 + b.3.37
= 37.(a.3.1000 + b.3) ⋮ 37

aaabbb = aaa000 + bbb
= a.111.1000 + b.111
= a.3.37.1000 + b.3.37
= 37.(a.3.1000 + b.3) ⋮ 37

Answer 2

aaabbb=1000aaa+bbb=1000.111a+111b

=111.(1000a+b)=37.3.(1000a+b)

=>aaabbb luôn chia hết cho 37