what are the total number of divisors of 600?

a) 24
b) 40
c) 16
d) 20

• Ans : 24
  
  explaination:
  
  600=2^3*3*5^2
  
  no. of divisors= (3+1)*(1+1)*(2+1)=24
• 10 years agoHelpfull: Yes(26) No(4)
• The prime factorization of 600
  
  600 = (2^3)(3^1)(5^2)
  
  The number of divisors (including 1 and the number itself) is the product of one plus the exponents.
  
  (3+1)(1+1)(2+1) = 24
• 10 years agoHelpfull: Yes(8) No(1)
• 4*2*3=
  24,,,,,,,
• 10 years agoHelpfull: Yes(4) No(4)
• 600=2^3*3*5^2
  (p+1)(q+1)(r+1)...
  (3+1)(1+1)(2+1)=24
  
• 10 years agoHelpfull: Yes(2) No(0)
• Factor of 600 is 2,2,2,3,5,5
  i.e 2^3,3^1,5^2......
  
  As per formula we know that,
  
  factors of a number is a^p,b^q... then no of divisors for that number is =(p+1)(q+1).....
  
  so now (3+1)*(1+1)*(2+1)=4*2*3=24(ans).
• 10 years agoHelpfull: Yes(2) No(0)
• 600=2^3*5^2*3^1
  ans is (4*3*2)=24
• 10 years agoHelpfull: Yes(1) No(0)
• 600=2^3*3*5^2
  formula=(p+1)(q+1)(r+1)
  where p=3
  q=1
  r=2
  (3+1)*(1+1)*(2+1)=24
  
• 10 years agoHelpfull: Yes(1) No(0)
• count all the numbers that can divide 600. we will get the number of divisors. answer is d
  
• 10 years agoHelpfull: Yes(0) No(1)
• 600=2^3*3*5^2
  
  no. of divisors= (3+1)*(1+1)*(2+1)=24(ans)
  
• 10 years agoHelpfull: Yes(0) No(0)
• 600=2^3*5^2*3^1
  ans is (4*3*2)=24
• 10 years agoHelpfull: Yes(0) No(0)
• Ans : 24
  explaination:
  600=2^3*3*5^2
  no. of divisors= (3+1)*(1+1)*(2+1)=24
• 10 years agoHelpfull: Yes(0) No(0)
• factors of 600 are
  2^3,5^2,3^1....so (3+1)*(2+1)*(1+1)=24
• 10 years agoHelpfull: Yes(0) No(0)
• (3+1)*(1+1)*(2+1)=24
• 10 years agoHelpfull: Yes(0) No(0)
• 24 is the ans
• 10 years agoHelpfull: Yes(0) No(0)
• 24 is correct :)
  
  (3+1)*(1+1)*(2+1)
  so 24
• 10 years agoHelpfull: Yes(0) No(0)
• The no is 600so 600235231ans is 43224
• 10 years agoHelpfull: Yes(0) No(0)
• 24
  600=2*3*5*2*5*2
  num of divisors=4*2*3=24
  
• 10 years agoHelpfull: Yes(0) No(0)
• can i get right answer if i follow the procesor for 1000 ? im getting 36 but options wont hav 36 .
• 10 years agoHelpfull: Yes(0) No(0)
• [(3+1)*(1+1)*(2+1)]=24
  Ans=24
• 10 years agoHelpfull: Yes(0) No(1)
• 24..........2^3*3^1*5^2.no of divisors= (3+1)(1+1)(2+1)=23
  
• 10 years agoHelpfull: Yes(0) No(1)
• Ans=24
  As we know the formula to find the no of factors of a no N= A^p*B^q*C^r......
  And which is =(p+1)*(q+1)*(r+1)........
  no finding the factorial of 600 = 2^3*3*5^2
  where p=3,q=1,&r=2
  putting the values in the formula we get (p+1)*(q+1)*(r+1)=(3+1)*(1+1)*(2+1)=4*2*3=24
  Therefore ans=24
• 10 years agoHelpfull: Yes(0) No(0)
• @MAZEED the answr will be 16
• 9 years agoHelpfull: Yes(0) No(0)
• ans is: b 24
• 9 years agoHelpfull: Yes(0) No(0)
• 2^3*5^2*3=30
• 9 years agoHelpfull: Yes(0) No(0)
• Ans is 24
  As 4*3*2
• 9 years agoHelpfull: Yes(0) No(0)