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Re: Number of positive integer divisors of 30 [#permalink]
A
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Re: Number of positive integer divisors of 30 [#permalink]
Carcass wrote:

This question is part of GREPrepClub - The Questions Vault Project




Quantity A
Quantity B
Number of positive integer divisors of 30
Number of positive integer divisors of 18



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

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My Answer is A
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Re: Number of positive integer divisors of 30 [#permalink]
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Matteo91 wrote:
I usually start these type of questions (asking for divisors of relatively simple numbers) by trying to divide the quantities by numbers starting from 1.
Write down all the corresponding factors.
For Quant A:
30/1 = 30 (two divisors)
30/2 = 15 (two more)
30/3 = 10
30/4 is not possible
and so on.

--> A is bigger with 6 divisors versus B with 3 divisors


Although your answer is correct 30 has 8 divisors not 6 (1,30,2,15,3,10,5,6) and 18 has 6 divisors and not 3 (1,18,2,9,3,6).
Also an integer can have an odd number of divisors if and only if it is a square. For example 4: 1,2,4
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