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What is the smallest integer that can be divided by the prod
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12 Nov 2017, 00:25
12 Nov 2017, 00:25
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What is the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number?
(A) 7
(B) 14
(C) 24
(D) 28
(E) 35
Kudos for correct solution.
(A) 7
(B) 14
(C) 24
(D) 28
(E) 35
Kudos for correct solution.
Re: What is the smallest integer that can be divided by the prod
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12 Nov 2017, 23:35
12 Nov 2017, 23:35
1
Prime numbers are 2, 3, 5, 7, 11, ...
Since the answer choices are between 7 and 35, and one of the divisors is 7, we know that we have to focus on small prime numbers otherwise we would get fractions.
Now, 7 is divisible only by 7 and 1 and 1 is not a prime, so we exclude it.
14 is divisible by 7 and 2, which are two primes, but the result would be 1 that is not prime.
24 is not divisible even by 7
28 is divisible by 7 and 2 and the result is 28/2*7 = 2 that is still prime. That's our answer!
Answer D
Since the answer choices are between 7 and 35, and one of the divisors is 7, we know that we have to focus on small prime numbers otherwise we would get fractions.
Now, 7 is divisible only by 7 and 1 and 1 is not a prime, so we exclude it.
14 is divisible by 7 and 2, which are two primes, but the result would be 1 that is not prime.
24 is not divisible even by 7
28 is divisible by 7 and 2 and the result is 28/2*7 = 2 that is still prime. That's our answer!
Answer D
Re: What is the smallest integer that can be divided by the prod
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24 Jun 2022, 22:31
24 Jun 2022, 22:31
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
