How many three digit numbers are there in which product of their digit is 36. Ex: 236, in this product of digit is 36

• if (x,y,z) are digits then x*y*z=36 where x,y,z less than 10
  
  (1,9,4)=> 6 no.s 149,194,419,491,914,941
  (1,6,6)=> 3 no.s 166,661,616
  (2,9,2)=> 3
  (2,6,3)=> 6
  (3,4,3)=> 3
  
  total no. = 6+3+3+6+3= 21
• 10 years agoHelpfull: Yes(165) No(6)
• 21 is right...
• 10 years agoHelpfull: Yes(9) No(4)
• Sorry friends for last answer.....
  That should be:===6+3+3+3+6= 21 numbers
• 10 years agoHelpfull: Yes(5) No(1)
• L.C.F. of 36 is--> 2,2,3,3
  so by this we have to make 3 digit no whose product is 36.
  so the numbers are as follows
  922,292,229
  433,343,334
  236,263,623,632,362,326
  
  so the total no is= 3+3+6=12
• 10 years agoHelpfull: Yes(2) No(16)
• 1, 2, 3, 4, 6, 9: pick any 3 numbers whose multiple is 36 . there are 21 such numbers
• 10 years agoHelpfull: Yes(2) No(1)
• 24-total
  2=236,263,229,292
  3=334,343,326,362
  4=409,490,419,491,433
  6=606,660,623,632,616,661
  9=904,940,941,914,922
• 10 years agoHelpfull: Yes(2) No(11)
• 36 have prime no multiplication (2,2,3,3)
  using these we can form no's and their arrangements
  433-3
  623-6
  922-3
  149-6
  166-3
  so total is 21
• 10 years agoHelpfull: Yes(1) No(0)
• 229,292,922
  362,326,263,236,632,623
  334,343,433
  661,616,166
  194,149,491,419,914,941
  answer is 21 numbers
• 10 years agoHelpfull: Yes(1) No(1)
• 21 is correct
  
• 10 years agoHelpfull: Yes(1) No(0)
• if (x,y,z) are digits then x*y*z=36 where x,y,z less than 10
  
  (1,9,4)=> 6 no.s 149,194,419,491,914,941
  (1,6,6)=> 3 no.s 166,661,616
  (2,9,2)=> 3
  (2,6,3)=> 6
  (3,4,3)=> 3
  &
  (6,0,6)=>1
  
  ans=6+3+3+6+3+1=22
• 9 years agoHelpfull: Yes(1) No(1)
• 2 3 6 we can arrange them in 6 ways.
  2 2 9 we can arrange them in 3 ways
  3 3 4 we can arrange them in 3 ways.
  totally 12 ways
  ans is 12
• 10 years agoHelpfull: Yes(0) No(12)
• We can make those three digit number of 36 as digit product, By using:-1,3,2,3,2 arrangement.
  236:= 236,263,326,362,632,623 =6 numbers
  433:= 433,343,334 =3 numbers
  922:= 922,292,229 =3 numbers
  661:= 661,616,166 =3 numbers
  941:= 941,914,419,491,149,194 =6 numbers
  
  
  The total required numbers =6+3+3+3+6 = 18 (Answer)
• 10 years agoHelpfull: Yes(0) No(19)