【Answer】15, 21, 35
【Analysis】Key points: Number Theory, Remainder, Prime Factorization
110 divided by this two-digit number is 5, so $110-5=105$ divided by this two-digit number has no remainder, meaning it can divide evenly, $105=1 \times 105=3 \times 35=5 \times 21=7 \times 15$, thus, all the two-digit numbers that meet the conditions are $15$, $21$, and $35$
2.110 divided by a two-digit number leaves a remainder of 5, all the two-digit numbers that satisfy this condition are $\qquad$