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n is on odd positive integer 700<n<800
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19 May 2017, 01:15
19 May 2017, 01:15
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Question Stats:
63% (00:48) correct
36% (00:46) wrong based on 192 sessions
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n is an odd positive integer, and 700 < n < 800
Quantity A |
Quantity B |
The number of the prime factors of n |
The number of the prime factors of 2n |
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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Re: n is on odd positive integer 700<n<800
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26 May 2017, 12:33
26 May 2017, 12:33
7
Carcass wrote:
n is an odd positive integer, and 700 < n < 800
Quantity A |
Quantity B |
The number of the prime factors of n |
The number of the prime factors of 2n |
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.
KEY CONCEPT #1: Every factor of n is also a factor of 2n
So, EITHER n and 2n have the same number of prime factors OR 2n has more prime factors than n has.
In other words, the correct answer is either C or B
KEY CONCEPT #1: Since n is ODD, we can conclude that 2 (a prime number) is NOT a factor of n
Since 2n is EVEN, we can conclude that 2 IS a factor of 2n
Since 2 (a prime number) IS a factor of 2n but NOT a factor of n, we can see that 2n must have MORE prime factors than n has.
Answer:
Show: ::
B
Cheers,
Brent
General Discussion
Re: n is on odd positive integer 700<n<800
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10 Jun 2020, 23:23
10 Jun 2020, 23:23
1
r^6=32
A) 32 B)r^5
A greater
B greater
both same
relation cannot be find
A) 32 B)r^5
A greater
B greater
both same
relation cannot be find
