Can find this 8 -digit number?
M is a 8-digit base ten positive integer having the form ABCDEFGH that uses each of the nonzero digits from 2 to 9 exactly once, and satisfies all of these conditions:
(i) AB is divisible by 3.
(ii) BC is divisible by 4.
(iii) CD is divisible by 5.
(iv) DE is divisible by 6.
(v) EF is divisible by 7.
(vi) FG is divisible by 8.
(vii) GH is divisible by 9.
Determine all possible value(s) that M can assume.
23456789
And how is AB (7*2) divisible by 3??
7*2=14!
Either
7 2 8 5 4 9 6 3
Or
8 7 2 5 4 9 6 3
That's easy:
72854963
87254963
I would give the answer, but I don't want to spoil it for everyone else.