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# The number of distinct factors of 32

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Joined: 07 Jun 2014
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The number of distinct factors of 32 [#permalink]  30 Aug 2018, 16:39
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Question Stats:

25% (00:34) correct 75% (00:29) wrong based on 16 sessions
 Quantity A Quantity B The number of distinct factors of 32 The number of distinct factors of 20

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Sandy
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Re: The number of distinct factors of 32 [#permalink]  01 Sep 2018, 10:07
sandy wrote:
 Quantity A Quantity B $$The number of distinct factors of 32$$ The number of distinct factors of 20

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

Rule : First make prime factorization of an integer N = a^p * b ^q * c^r , where a, b , and c and are prime factors of and p , q , and r are their powers.
The number of factors of will be expressed by the formula (p+1) (q+1) (r+1). NOTE: this will include 1 and n itself.

Now factorise Col A : we get 2^5 and
Col B : 2^2 * 5^1.

As per above formula Col A : (5+1) = 6
Col B : (2+1)(1+1) = 6.

Both same .

C.
Re: The number of distinct factors of 32   [#permalink] 01 Sep 2018, 10:07
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# The number of distinct factors of 32

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