2000 PMWC Problems/Problem I15
Problem
The sum of several positive integers is 
. Find the largest product that can be formed by these integers.
Solution
Try ![\[5: 2*3*4*5*6 = 720\]](http://latex.artofproblemsolving.com/1/1/c/11c22eb0174181ecd2c30a1d2d27b88d1639ddac.png)
Try ![\[4: 3*4*6*7 = 504\]](http://latex.artofproblemsolving.com/4/5/3/453667a07be111ae92326dca9b4f7a0f081da41d.png)
Try 3, then realize it's going to be smaller.
6 numbers is too many, since ![\[1+2+3+4+5+6=21\]](http://latex.artofproblemsolving.com/7/c/e/7cea75cd91286e850ef4923b19782b463dc49be2.png)
Thus the answer is 720
