Listed below is an old question which I think is not correct:
(2^K)*(3^C) is the greatest positive divisor of (9!)^3. Find the product KC
For example, if the question had asked what is the greatest positive divisor of 100, then the answer would be a 100, right?
Since 100 is a divisor of 100, then that definitely makes it the greatest divisor. Then for (9!)^3, the greatest positive divisor should equal (9!)^3.
If the question had instead stated,
(2^K)*(3^C) is a positive divisor of (9!)^3. Find the product KC
then I think the question makes sense. Can someone comment on whether my point is valid? Thanks.