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The number of distinct factors of 32
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30 Aug 2018, 16:39
30 Aug 2018, 16:39
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Question Stats:
61% (00:46) correct
38% (00:29) wrong based on 108 sessions
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Quantity A |
Quantity B |
The number of distinct positive factors of 32 |
The number of distinct positive 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.
Re: The number of distinct factors of 32
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01 Sep 2018, 10:07
01 Sep 2018, 10:07
1
sandy wrote:
Quantity A |
Quantity B |
The number of distinct positive factors of 32 |
The number of distinct positive 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.
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Re: The number of distinct factors of 32
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07 Jul 2019, 05:14
07 Jul 2019, 05:14
2
sandy wrote:
Quantity A |
Quantity B |
The number of distinct positive factors of 32 |
The number of distinct positive 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.
Alternatively, we can just list and count the positive factors of 32 and 20
QUANTITY A: Factors of 32: 1, 2, 4, 8, 16, 32 (6 factors)
QUANTITY B: Factors of 20: 1, 2, 4, 5, 10, 20 (6 factors)
Answer: C
Cheers,
Brent
