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The prime number of factors of 12
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15 Dec 2021, 02:43
15 Dec 2021, 02:43
Expert Reply
00:00
Question Stats:
60% (00:29) correct
40% (00:38) wrong based on 35 sessions
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Quantity A |
Quantity B |
The number of prime factors of 12 |
The number of prime factors of 64 |
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
Kudos for the right solution and explanation
Re: The prime number of factors of 12
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15 Dec 2021, 07:57
15 Dec 2021, 07:57
1
Qt A
Factors of \(12 - 1, 2, 3, 4, 6, 12\)
Prime factors \(2\) & \(3\)
Qt B
Factors of \(64 - 1, 2, 4, 8, 16, 32, 64\)
Prime factor \(2\)
Qt A > Qt B
Answer A
Factors of \(12 - 1, 2, 3, 4, 6, 12\)
Prime factors \(2\) & \(3\)
Qt B
Factors of \(64 - 1, 2, 4, 8, 16, 32, 64\)
Prime factor \(2\)
Qt A > Qt B
Answer A
The prime number of factors of 12
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11 Jun 2022, 11:34
11 Jun 2022, 11:34
1
Wording seems ambiguous here.
Clearly A has more unique prime factors (2 versus 1), but the stem asks about PRIME factors and does not specify unique or distinct.
Quanity A- includes \(2^{2}\) and \(3^{1}\) so there are 3 instance of prime factors as the stem asks for
Quantity B- is\( 2^{6}\) and includes 6 instances of prime factors.64 has 6 prime factors (2*2*2*2*2*2) and 1 unique prime factor(2)
Would it not be reasonable to conclude B based on how this question is worded in not specifying unique prime factors?
Clearly A has more unique prime factors (2 versus 1), but the stem asks about PRIME factors and does not specify unique or distinct.
Quanity A- includes \(2^{2}\) and \(3^{1}\) so there are 3 instance of prime factors as the stem asks for
Quantity B- is\( 2^{6}\) and includes 6 instances of prime factors.64 has 6 prime factors (2*2*2*2*2*2) and 1 unique prime factor(2)
Would it not be reasonable to conclude B based on how this question is worded in not specifying unique prime factors?
