Question

What is the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number?

Answer 1

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.

$\frac{7}{14}=\frac{1}{2}$

The quotient is not a integer or prime number.

(B). 14

$\frac{14}{14}=1$

We know that 1 is not a prime number.

(C) 24.

$\frac{24}{14}=\frac{12}{7}$

The quotient is not a integer or prime number.

(D). 28

$\frac{28}{14}=2$

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.