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Concatenated Numbers and Divisibility (Posted on 2010-06-29)

Each of p and q is a 6-digit base ten positive integer with no leading zero. The 12-digit number that is obtained by writing p and q side-by-side is divisible by the product p*q.

Determine all possible pair(s) (p, q) for which this is possible.

Submitted by K Sengupta

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Solution: (Hide)

(p, q)= (166667, 333334) is the only triplet satisfying the conditions of the given problem.

For a detailed explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Improved Solution	Steve Herman	2010-06-30 11:56:23
re: Full solution	ed bottemiller	2010-06-29 18:33:15
Full solution	Steve Herman	2010-06-29 17:04:49
partial solution	Dej Mar	2010-06-29 16:06:57
More analytics	Steve Herman	2010-06-29 15:02:54
prelims	ed bottemiller	2010-06-29 14:30:53
analytical solution	Daniel	2010-06-29 13:55:19

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