The maximum number of factors below 600 are?

• ans: 24
  600= 2^3∗3∗5^2
  number of factor (3+1) (1+1) (2+1)=24
• 5 years agoHelpfull: Yes(16) No(1)
• If x=am∗bn∗cp...
  where a, b, c, ... are the prime factors of x, then the number of factors of x is
  (m+1)(n+1)(p+1)...
  
  This is because any factor can be made by selecting 0 to m numbers of a (in m+1 ways), 0 to n numbers of b (in n+1 ways) and so on.
  
  Since 600=23∗3∗52
  Total number of factors of 600 = (3+1)(1+1)(2+1) = 24
• 5 years agoHelpfull: Yes(7) No(2)
• it is not about factors of 600
  question is wrong
• 4 years agoHelpfull: Yes(1) No(0)
• it's 23 since the factors should be less than 600.if the answer is 24 then 600 would be included which is wrong
• 4 years agoHelpfull: Yes(1) No(0)
• Factor of 600
  (2^3)*(3^1)*(5^2)
  (3+1)*(1+1)*(2+1)=4*2*3=24
• 5 years agoHelpfull: Yes(0) No(0)
• 24
  the factors of 600 are
  (2^3)(5^2)(3)
  then total factor will be
  4*3*2=24
• 4 years agoHelpfull: Yes(0) No(0)