n is a number such that 2n has 28 factors and 3n has 30 factors, 6n will have how many factors ?

1) 35
2) 32
3) 28
4) None of this

• 35
  
  2n has 28 factors ...28 = 7*4
  30 has 30 factors.... 30= 6*5
  
  so n= 2^5*3^3
  6n = 2^6*3^4 which will have 7*5=35 factors.
• 11 years agoHelpfull: Yes(5) No(1)
• Aman please explain this
• 8 years agoHelpfull: Yes(0) No(0)