3

Part of 2003 Austria Beginners' Competition

Problems(1)

max D, product of 5 consecutive even integers is always divisible by D

Source: 2003 Austria Beginners' Competition p3

a) Show that the product of

5

consecutive even integers is divisible by

15

. b) Determine the largest integer

D

such that the product of

5

consecutive even integers is always divisible by

D

number theoryconsecutivedividesdivisible