find prime factors

local function findPrimeFactors(...)
    local args = {...};
    local largestnum, num = 0, 0, 0;
    for i, arg in ipairs(args) do
        if(arg > largestnum) then
            largestnum = arg;
        end
    end
    local factors = {};
    local primes = findPrimes(largestnum)
    for i, arg in ipairs(args) do
        factors[arg] = {};
        for _, prime in ipairs(primes) do
            num = arg;
            while(num % prime == 0) do
                factors[arg][prime] = ((factors[arg][prime] == nil and 1) or (factors[arg][prime] + 1));
                num = num / prime;
            end
        end
    end
    for numb, tab in pairs(factors) do
        print("arg:", numb)
        local multi = 1;
        for factor, power in pairs(tab) do
            print("-->", factor .. "^" .. power);
            multi = multi * (factor ^ power);
        end
        print("---->", multi);
    end
end