Divide and Rule

Algebra Level 4

Find the number of parts in which 1000 must be divided such that the product of the parts is maximum of all possible combinations.

Bonus : Generalize this for any integer larger than 5.


The answer is 368.

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1 solution

Vraj Mistry
Jul 14, 2016

Please find the solution at this link , it is in the photo

What is this question asking? Can't you just take 500, 500 and have a product of 250000>368 or something?

Wen Z - 4 years, 11 months ago

I've edited the problem as it was originally now.

Vraj Mistry - 4 years, 11 months ago

368 isnt the product of part but the number of parts

Mr Yovan - 4 years, 11 months ago

Mr.Yovan please read the question, it tells to find the no. Of parts in which 1000 must be divided

Vraj Mistry - 4 years, 11 months ago

I was trying to answer the guy who said 250000>368

Mr Yovan - 4 years, 11 months ago

Yeah but before it was edited it said something like find the maximum possible product where all the numbers were integers. Now that the question has been edited, I can see what it's asking.

Wen Z - 4 years, 11 months ago

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