what is the largest for n for which 3^n divides 44^44

• 0
  as prime factorisation of 44 does not contain any 3
• 11 years agoHelpfull: Yes(18) No(2)
• answer is 0
  44 =2*2*11 and 3 are co-prime number.... so max valuw of n will be 0
• 11 years agoHelpfull: Yes(3) No(1)
• 0 coz no factor in common
• 11 years agoHelpfull: Yes(0) No(2)
• i think the quen is wrong. quen should be
  "what is the largest for n for 16^n divides 44^44"
  (44^44) means 44*44*44..like that is 2power4*(11power 22)
  (((44*44=(2*22)(2*22)
  =(2power4(11power22) )))
  16^n is (2power4)^n
  finally
  (44^n)/(16^n)=[(2 power 4)*(11 power 22)]/(2power4)^n]
  so the n value should be 22.
• 11 years agoHelpfull: Yes(0) No(2)
• wrong question in place of 3 there should be 2^3n.
  
  3n= 88
  n=29 Ans.
• 11 years agoHelpfull: Yes(0) No(0)