All possible two factor product are formed from the numbers 1,2....100 .the number of factors out of the total obtained from the multiples of 3 .

Two Factor products which are Multiples of 3=(total two factor products)-(two factor products of non multiples of 3)
  • Total two factor products=100c2 (any two numbers selected from 100)
  • Two factor products of non multiples of 3=67c2 (there are 33 multiples of 3 below 100)
  • Final answer=100c2 - 67c2=2739
  • 9
What are you looking for?