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How many odd, positive divisors does 540 have?

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How many odd, positive divisors does 540 have? [#permalink] New post 29 Oct 2017, 01:49
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How many odd, positive divisors does 540 have?

A. 6

B. 8

C. 12

D. 15

E. 24

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Re: How many odd, positive divisors does 540 have? [#permalink] New post 29 Oct 2017, 04:00
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540 = 2^2 x 3^3 x 5^1

Total divisors = (2+1)(3+1)(1+1) = 24

For odd divisors we have to look at powers of odd numbers so
Number of odd divisors = (3+1)(1+1) = 8
Re: How many odd, positive divisors does 540 have?   [#permalink] 29 Oct 2017, 04:00
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How many odd, positive divisors does 540 have?

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