Question

Find the largest number obtainable as the product of positive integers
whose sum is 1976.

Answer 1

Is this a brilliant.org question?

Answer 2

no its not

Answer 3

is it a problem to ask brilliant.org questions on OS

Answer 4

I guess it'd be \(988 \times 988\).

Answer 5

let \[x_1,x_2,....,x_n \space be \space the \space integers \]
\[AM \ge GM\]
\[\huge \frac{x_1+x_2+...+x_n}{n} \ge \sqrt[n]{x_1x_2...x_n}\]
\[\huge \frac{1976^n}{n} \ge x_1x_2...x_n\]

Answer 6

When you want to find the highest such number, just halve the sum.

Answer 7

denominator n^n

Answer 8

Oh myy...

Answer 9

wats the problem

Answer 10

I am not too good at all those applications . . . I just know that the numbers are \(988\) and \(988\)

Answer 11

okay i will post the solution but its so much of analysis