3. (7 points) It is known that a two-digit number divides 1477, leaving a remainder of 49. What are all the two-digit numbers that satisfy this condition?
【Solution】Solution: $1477-49=1428$,
$1428=7 \times 2 \times 2 \times 3 \times 17$, so the two-digit factors of 1428 greater than 49 are:
$$
\begin{array}{l}
17 \times 3=51, \\
2 \times 2 \times 17=68, \\
2 \times 2 \times 3 \times 7=84 .
\end{array}
$$

Therefore, the answers are: $51, 68, 84$.