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# If n is a positive integer, is n divisible by at least six positive in

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Re: If n is a positive integer, is n divisible by at least six positive in [#permalink]
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(1) n is the product of three different prime numbers

n = a*b*c (where a,b,c are prime)

Now number of factors of n
i) choose any 1 of (a/b/c) = 3C1 = 3
ii) choose any 2 of (a/b/c) = 3C2 = 3
iii) choose all 3 of (a/b/c) = 3C3 = 1

So n can be written as a combination of a,b,c in (3+3+1)=7 ways

So (1) is sufficient

(2) 30 = 2*3*5 (prime factors)

if 1 is sufficient, 2 is sufficinet as well

D is correct !
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Re: If n is a positive integer, is n divisible by at least six positive in [#permalink]
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Re: If n is a positive integer, is n divisible by at least six positive in [#permalink]
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