P is a 8-digit base ten positive integer having the form ABCDEFGH that uses each of the nonzero digits from 1 to 8 exactly once, and satisfies all of these conditions:(adsbygoogle = window.adsbygoogle || []).push({});

(i) AB is divisible by 8.

(ii) BC is divisible by 7.

(iii) CD is divisible by 6.

(iv) DE is divisible by 5.

(v) EF is divisible by 4.

(vi) FG is divisible by 3.

(vii) GH is divisible by 2.

Determine all possible value(s) that P can assume.

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# 8-digit number and divisibility puzzle

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