function prime(n)
 for i = 2, n^(1/2) do
   if (n % i) == 0 then
     return false
   end
   return true
 end
 end

function getSectors(x, y, turtleAmount)
    totalArea = x*y
    local l = true
    local w = true
    local j = 2
    local m = 2
    if prime(totalArea) == true then
        turtleCountNeeded = 1
    else
        repeat
            if turtleAmount <= j and math.mod(x, j) == 0 then
                l = false
            elseif turtleAmount > j and (x % j) == 0 then
                j=j+1
                l = true
            elseif turtleAmount > j and (x % j) ~= 0 then
                j=j+1
            elseif turtleAmount < j and (x % j) ~= 0 then
                j=j-1
            end

        until l == false
        turtlesPerX = j-1

        repeat
            if turtleAmount < m and (y % m) == 0 then
                w = false
            elseif turtleAmount > m and (y % m) == 0 then
                m = m+1
                w = true
            elseif turtleAmount > m and (y % m) ~= 0 then
                m = m+1
                w = true
            elseif turtleAmount < m and (y % m) ~= 0 then
                m = m-1
            end
        until w == false
        turtlesPerY = m-1
        length = x/turtlesPerX
        width = y/turtlesPerY
        areaPerSector = width*length
        sectorCount = totalArea/areaPerSector
    end
    return length, width, sectorCount
end

length, width, sectorCount = getSectors(10, 10, 40)

print("Amount of sectors: "..sectorCount)
print("Length per sector: "..length)
print("Width per sector: "..width)