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Break the product down into factors summing to 100

Jim Howson
Tuesday 17 March 2009 03:21

This giant 16-digit integer is part of my collection of maths curios. It is in fact the largest integer that can be obtained by selecting a certain quantity of smaller integers - which must sum to exactly 100 - and multiplying them together.

You are asked to identify this series of smaller integers, some of which can be the same as others in the series, if preferred.

The first problem of course is to work out just how many smaller integers will be needed.

Find the solution online >>