You are correct. A multiplication may involve any number of factors.
When we have a multiplication such as
2 × 3 × 5 = 30,
does the order in which we do the multiplying make any difference? Would we get the same result if we multiplied 2 × 3 and then multiplied that product by 5, as we would get if we multiplied 3 × 5 and then multiplied that result by 2? In other words, does