factors.lua

function get_all_factors(number)
	--[[--
	Gets all of the factors of a given number
	
	@Parameter: number
		The number to find the factors of

	@Returns: A table of factors of the number
    --]]--
	local factors = {}
	for possible_factor=1, math.sqrt(number), 1 do
		local remainder = number%possible_factor
		if remainder == 0 then
			local factor, factor_pair = possible_factor, number/possible_factor
			table.insert(factors, factor)
			
			if factor ~= factor_pair then
				table.insert(factors, factor_pair)
			end
		end
    end

    table.sort(factors)
	return factors
end

--The Meaning of the Universe is 42. Let's find all of the factors driving the Universe.

the_universe = 42
factors_of_the_universe = get_all_factors(the_universe)

--Print out each factor

print("Count",	"The Factors of Life, the Universe, and Everything")
for i, v in ipairs(factors_of_the_universe) do
    print(i, v)
end