-- Write a function which determines the prime factors of a given
-- number, returning them in a list.  You may assume that none of the
-- prime factors are above 10000
--
-- Solution --------------------------------------------------------------------
function prime_factors(n)
	-- Your implementation here
end

-- Tests -----------------------------------------------------------------------

local luaunit = require("luaunit.luaunit")

function test_prime_factors_of_42()
	luaunit.assertItemsEquals(prime_factors(42), {2, 3, 7})
end

function test_prime_factors_of_70()
	luaunit.assertItemsEquals(prime_factors(70), {2, 5, 7})
end

function test_prime_factors_of_253()
	luaunit.assertItemsEquals(prime_factors(253), {11, 23})
end

function test_prime_factors_of_245()
	luaunit.assertItemsEquals(prime_factors(245), {5, 7, 7})
end

function test_prime_factors_of_36()
	luaunit.assertItemsEquals(prime_factors(36), {2, 2, 3, 3})
end

function test_prime_factors_of_1337()
	luaunit.assertItemsEquals(prime_factors(1337), {7, 191})
end

function test_prime_factors_of_4321()
	luaunit.assertItemsEquals(prime_factors(4321), {29, 149})
end

function test_prime_factors_of_57812834()
	luaunit.assertItemsEquals(prime_factors(57812834), {2, 29, 113, 8821})
end

function test_prime_factors_of_8894220()
	luaunit.assertItemsEquals(prime_factors(8894220), {2, 2, 3, 5, 271, 547})
end

os.exit(luaunit.LuaUnit.run())