. P is the product of all the factors of 15552. If P = 12N×M, where M is not a multiple of 12, then find the value of M. [M and N are positive Integers]?

• 15552 = 2^6×3^5
  Product of all the factors of 15552 = (2^6×3^5)^((6+1).(5+1))/2=2^126×3^105
  ⇒(2^2)^63×3^63×3^42 = 12^63×3^42
  So M = 3^42
  
  
• 8 years agoHelpfull: Yes(0) No(2)