Alright, let's work through 6003 times 560 step by step
6003 × 560 = 560 × (6003)
+ 560 × 3 what gives us 1680
+ 560 × 00 resulting in 0
+ 560 × 000 yielding 0
+ 560 × 6000 giving us 3360000

= 3361680
