CAT
Exam
How many integers between 1 and 1000 have exactly 27 positive divisors
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- I think only 900 has 27 positive divisors.
- 12 years agoHelpfull: Yes(3) No(0)
- to find divisors we have formula like of 2^a * 3^b have (a+1)*(b+1) divisors
to have 27 divisors we need multiplication 3*3*3 that we can find in 2^2 * 3^2 * 4^2 = (2+1)(2+1)(2+1) = 27 divisors of 900 & we can not find any other number in this range so ans is 1 - 12 years agoHelpfull: Yes(0) No(0)
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