Question

the product of four consecutive positive integers is 1680

Answer 1

There are no 4 consecutive EVEN integers that multiply out to 1680. You can see this for yourself - lets pick the first 4 even integers: 2, 4, 6, 8. The product of these even integers is 384 - too small. Thenext potential set is 4, 6, 8, 10, and the product of these four is 1920, which is too big.