$2 \cdot 44$ Remove some numbers from the set $\{1,2, \cdots, 1982\}$, so that in the remaining numbers, no number is the product of any two other numbers. How many numbers must be removed at least to achieve this?
[Solution] Since $45 \times 46=2070$, when 43 numbers: $2,3, \cdots, 44$ are deleted, the resulting set meets the requirements of the problem.
On the other hand, when at most 42 numbers are deleted from the set, among the following 43 sets
$$
\{k, 89-k, k(89-k)\}, k=2,3, \cdots, 44
$$

at least one set will have all 3 numbers not deleted, which does not meet the requirements of the problem. Therefore, the minimum value required is 43.