Latest Elitmus Aptitude Question SOLUTION: The maximum number of factors below 600 are?

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(#M40165458) ELITMUS Numerical Ability question Keep an EYE

The maximum number of factors below 600 are?

Asked In Elitmus Babita Bisht (6 years ago)

Solved Govind kumar Read Solution (7)

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Read Solution (7) :

sivasai reddy  (6 years ago)

ans: 24
600= 2^3∗3∗5^2
number of factor (3+1) (1+1) (2+1)=24

Is this solution Helpfull? Yes (16) | No (1)  

Govind kumar  (6 years ago) Best Solution

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

Is this solution Helpfull? Yes (7) | No (2)  

kancharla srinadh  (5 years ago)

it is not about factors of 600
question is wrong

Is this solution Helpfull? Yes (1) | No (1)  

vishwas  (5 years ago)

it's 23 since the factors should be less than 600.if the answer is 24 then 600 would be included which is wrong

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poonam chandra  (6 years ago)

Factor of 600
(2^3)*(3^1)*(5^2)
(3+1)*(1+1)*(2+1)=4*2*3=24

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arvind patel  (5 years ago)

24
the factors of 600 are
(2^3)(5^2)(3)
then total factor will be
4*3*2=24

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Abhay  (4 Months ago)

Ans =24 ;its not about to include 600 or not only take 480 =2^5 x 3 x 5
Number of divisor= (6) x 2 x 2 = 24

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