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what are the total number of divisors of 600?
a) 24
b) 40
c) 16
d) 20
Read Solution (Total 25)
-
- 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 - 9 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)
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