For how many positive integers greater than 10 and less than 1000 is the
product of the digits equal to 6?
The answer is 24. The numbers are 12, 21, 24, 30, 42, 60, 72, 84, 90, 102, 120, 126, 132, 150, 180, 201, 210, 240, 300, 360, 420, 600, 720, and 840.
AAAaannndd the bot gets it wrong yet again!
since the only factors of 6 are 1,2,3,6 the only possibilities are
16, 23, 32, 61
116, 123, 132, 161, 213, 231, 312, 321, 611
so, 13 in all