15. (3 points) Two two-digit numbers $A B \times C D=1365, A, B, C, D$ are distinct numbers, then these two numbers are $\qquad$ and $\qquad$
15. (3 points) Two two-digit numbers $A B \times C D=1365, A, B, C, D$ are distinct numbers, then these two numbers are $\qquad$ and $\qquad$.

【Solution】Solution: $1365=3 \times 5 \times 7 \times 13$;
Since $3 \times 5 \times 7=245$, which is a three-digit number, only the four factors can be combined in pairs:
$3 \times 5=15,13 \times 7=91$; the two numbers have the same digit 1, discard;
$3 \times 13=39,5 \times 7=35$; the two numbers have the same digit 3, discard;
$3 \times 7=21,5 \times 13=65$; the two numbers have no common digits, which meets the requirement.
Therefore: These two numbers are 21 and 65, that is: $21 \times 65=1365$;
Hence the answer is: 21,65.