rec.puzzles Archive

Using all the 9 digits from 1 to 9 and only once, what two numbers multiplied give the largest product?

arithmetic/digits/largest.product New

New entry, edited from material collected for the archive and not yet in a released version.

Problem

Using all the 9 digits from 1 to 9 and only once, what two numbers
multiplied give the largest product?  Such as 12345 times 6789.

-- MartyW <martyw@garlic.com>, from a book by L. A. Graham
Show solution
Osei L Ampadu wrote in article <5kc4i8$4gr@dailyplanet.wam.umd.edu>...
>  common sense tells me that it's 97531 times 8642...
>
>  but I could be wrong...

yes, you're wrong (a little bit)

the largest product is
87531 * 9642 = 843973902

-- Igor Krivokon <igor.k@usa.net>

[ Editor: for comparison, 97531 * 8642 = 842862902.  See also
arithmetic/digits/extreme.products. ]