Problem #PRU-109423

Problems Set theory and logic Mathematical logic Puzzles Algebra and arithmetic Number theory. Divisibility The fundamental theorm of arithmetic. Prime factorisation.

Problem

At the end of the term, Billy wrote out his current singing marks in a row and put a multiplication sign between some of them. The product of the resulting numbers turned out to be equal to 2007. What is Billy’s term mark for singing? (The marks that he can get are between 2 and 5, where 5 is the highest mark).