15. (12 points) The teacher told six different factors of a certain two-digit number to six intelligent and honest students, $A \sim F$.
$A$ and $B$ said simultaneously: I know what the number is.
$C$ and $D$ said simultaneously: After hearing what they said, I also know what the number is.
$E$: After hearing what they said, I know that my number is definitely larger than $F$'s.
$F$: The number I have is between $C$ and $D$.
What is the sum of the six numbers they have?
A. 141
B. 152
C. 171
D. 175
【Answer】Solution: $70+35+14+10+7+5=141$
【Answer】 $A$