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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?

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by BTGmoderatorDC » Tue Mar 07, 2023 5:41 am

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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


OA D

Source: Magoosh
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Re: What is the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime numbe

by Scott@TargetTestPrep » Wed Mar 08, 2023 11:36 am
BTGmoderatorDC wrote: ↑
Tue Mar 07, 2023 5:41 am
 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


OA D

Source: Magoosh
Since the smallest prime number is 2, the smallest product of a prime number and 7 is 2 x 7 = 14, and the smallest integer that yields a prime number when it is divided by 14 is 28 (notice that 28/14 = 2).

Answer: D

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