Factorization Possibilities
Discrete Mathematics
Level
3
How many different factorizations are there of
\[2310 = 2\cdot 3\cdot 5\cdot 7\cdot 11?\]
For instance, the number \(42 = 2\cdot 3\cdot 7\) has five different factorizations:
\[42,\ \ 2\times 21,\ \ 3\times 14,\ \ 6\times 7,\ \ 2\times 3\times 7.\]
by
Arjen Vreugdenhil