4. Students from one of the schools are tasked with making 455 Christmas tree ornaments for kindergartens in the city. All students should make the same number of ornaments. More than 10, but fewer than 70 people participated in making the ornaments. How many students made the ornaments, and how many did each of them make?
4. Let's represent the number 455 as the product of several numbers. Since the number ends in 5, it is divisible by $5 (455: 5=91)$. The number 91 is also divisible by $7 (91: 7=13)$. Thus, the number 455 can be represented as the product of the following numbers: $455=5 \times 7 \times 13$.

Now let's represent the number 455 as the product of two numbers, one of which will represent the number of toys made by one student, and the other will represent the number of students making the toys:

$$
\begin{aligned}
& 455=1 \times 455=455 \times 1 ; 455=5 \times 91=91 \times 5 \\
& 455=7 \times 65=65 \times 7 ; 455=13 \times 35=35 \times 13
\end{aligned}
$$

Since the number of students is more than 10 but less than 70, the following options remain: $455=65 \times 7 ; 455=13 \times 35=35 \times 13$.

Answer: 65 students made 7 toys each, 13 students made 35 toys each, 35 students made 13 toys each.