8. (10 points) Given that the product of 4 prime numbers is 11 times their sum, then their sum is ( )
A. 46
B. 47
C. 48
D. There are no numbers that meet the condition
8. (10 points) Given that the product of 4 prime numbers is 11 times their sum, then their sum is ( )
A. 46
B. 47
C. 48
D. No numbers meet the condition
【Solution】Let the four prime numbers be $a, b, c, d$.
According to the problem: $a b c d$ is a multiple of 11, so one of these 4 prime numbers must be 11. Let $d$ be 11. $a b c d=11(a+b+c+d)$, rearranging gives $a b c=a+b+c+11$
If $a, b, c$ are odd, then $a b c$ is odd, and $a+b+c+11$ is even, which is a contradiction. Therefore, among $a, b, c$, there must be an even prime number 2, let $c=2$.
Thus, $2 a b=a+b+2+11$
Since $2 a b$ is even, $a+b+2+11$ must also be even. Therefore, only one of $a, b$ can be odd.
So we let $b=2$.
$$
\begin{array}{l}
4 a=a+2+2+11 \\
\therefore a=5 \\
a+b+c+d=5+2+2+11=20
\end{array}
$$

Therefore, the answer is: D.