Find the no. Of ways in which 210 be expressed as a product of 3 distinct factors?

• 210 can be written as product of prime factors ie 2X3X5X7. so the question asked to express 210 as product of 3 distinct factors means the above four prime factors combines to form 3 factors. means two factors should be combined to one factor which can be done in 4C2 ways
• 11 years agoHelpfull: Yes(25) No(2)
• THE FACTORS OF 210 are 2 3 5 7...now we should choose two unmixxed term and one mixed one.so we have to select 2 out of 4...so 4C2 ways
• 11 years agoHelpfull: Yes(5) No(0)
• 210=2*3*5*7
  The factors can be expressed in 13ways
  (105 2 1);(70 3 1);(42 5 1);(10 21 1);(14 15 1);(6 35 1);(30 7 1);(10 3 7);(6 5 7);(14 5 3);(15 7 2);(35 3 2);(21 5 2)
• 11 years agoHelpfull: Yes(5) No(7)
• 4c3=4
  3c2=3
  total no expresed=4c3*3c2=12
• 11 years agoHelpfull: Yes(3) No(4)
• factor of 210 are 2,3,5,7
  two factors should be combined to one factor so there are 4C2 ways
  so ans is 12
• 11 years agoHelpfull: Yes(1) No(7)
• 3*7*10 3 places 3 numbers can arranged in 3! ways.
  so,6ways is ans.
• 11 years agoHelpfull: Yes(1) No(1)
• 210=2*3*5*7;
  so it can be expressed as in 3c2 i.e. in 6 ways
  1)2*3*35
  2)2*5*21
  3)2*7*15
  4)3*5*14
  5)3*7*10
  6)5*7*3
• 11 years agoHelpfull: Yes(1) No(0)
• Aans 18
  factors of 21 = 3*7*2*5
  now u r to express 210 as a prod of 3 distinct factors , mind d fact that 4 factors are available .
  the no of ways in which a pair cn be formed is C(4,2) = 6
  Now each of this pair can be arranged with the remaing 2 no in 3 ways
  Hence the total no of ways = 18
• 11 years agoHelpfull: Yes(0) No(5)