Answer :
Answer:
(D). 28
Step-by-step explanation:
We have been given that the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number.
We know that smallest prime is 2. The product of 2 and 7 is 14.
Let us divide our given numbers by 14.
(A) 7.
[tex]\frac{7}{14}=\frac{1}{2}[/tex]
The quotient is not a integer or prime number.
(B). 14
[tex]\frac{14}{14}=1[/tex]
We know that 1 is not a prime number.
(C) 24.
[tex]\frac{24}{14}=\frac{12}{7}[/tex]
The quotient is not a integer or prime number.
(D). 28
[tex]\frac{28}{14}=2[/tex]
Since 2 is a prime number, therefore, 28 is the smallest integer that can be divided by the product of a prime number and 7 and yield a prime number.