2006 iTest Problems/Problem 3
Revision as of 02:30, 27 November 2018 by Rockmanex3 (talk | contribs) (Solution to Problem 3 — products and optimization)
Problem
Let be distinct positive integers such that the product . What is the largest possible value of the sum ?
Solution
Note that the expression can be written as . The prime factorization of is . Since does not have perfect squares as factors, . The other variables are the three primes since all variables are distinct, so the maximum value of is .
See Also
2006 iTest (Problems, Answer Key) | ||
Preceded by: Problem 2 |
Followed by: Problem 4 | |
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