Latest Elitmus Aptitude Question SOLUTION: How many maximum number of factors are there for numbers from 1 to 600 options: a-24 b-32 c-?? d-??

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(#M40164391) ELITMUS Numerical Ability question Elitmus 16/4/17 Keep an EYE

How many maximum number of factors are there for numbers from 1 to 600
options:
a-24
b-32
c-??
d-??

Asked In Elitmus Harnirvair (7 years ago)

Solved rishabh singh Read Solution (3)

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rishabh singh  (7 years ago) Best Solution

its 24 (a)
because 600= 2*2*2*3*5*5.. when you count the no. of factors it is (3+1)*(1+1)*(2+1) which gives u a total of 24...So all the numbers less than 600 have less than 24 factors ...

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aakash  (5 years ago)

(a) 24

Obviously, 600 being the highest, all the numbers less than 600 will have factors less than its own. So, calculating the no: of factors of 600.... by prime factorization 600 = (2^3)*(5^2)*(3^1). Adding one to all the powers and finding their product.. i.e (3+1)(2+1)(1+1) we get 24.

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kumar kingsukh  (5 years ago)

2^3 * 3 * 5^2
(3+1)(1+1)(2+1)
4*2*3
24

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