CPS : Continuation Passing Style

I write a code using recursion.

static int Fact(int n)
{
    if (n == 0)
    {
        return 1;
    }
    else
    {
        return n * Fact(n - 1);
    }
}

I write a code using CPS.

static int FactCPS(int n, Func cont)
{
    if (n == 0)
    {
        return cont(1);
    }
    else
    {
        return FactCPS(n - 1, a => cont(n * a));
    }
}

static int Fact(int n)
{
    return FactCPS(n, a => a);
}