What two digit number is A*B

Question

A*B*6 is A three digit number and is divisible by 9,5 and 7. What two digit number is A*B?

Answer 1

If the 3 digit number equaling A*B*6 is factorable by 9, 5, 7 then A*B*6 is a multiple of these numbers.

 

9*5*7*1 = 315

9*5*7*2 = 630

9*5*7*3 = 945

 

any higher would be a 4 digit number. Which gives a 2 digit integer when divided by 6?

 

315/6 = 52.5

630/6 = 105

945/6 = 157.5

 

A*B *6 = 630

 

A*B = 105

 

I don't see any 2 digit solution for A*B , only a 3 digit, 105.

Is there any information missing or wrong in the posted question?