2. The product of a multiplication problem is √255 . What do you know about the factors?

The product of a multiplication problem being equal to \( \sqrt{255} \) implies that the factors involved in this multiplication must be such that their product equals \( \sqrt{255} \).

### Understanding \( \sqrt{255} \)
First, let's simplify \( \sqrt{255} \). The number 255 can be factored as follows:

\[
255 = 3 \times 5 \times 17
\]

Thus, we can express \( \sqrt{255} \) as:

\[
\sqrt{255} = \sqrt{3 \times 5 \times 17}
\]

### Factors of \( \sqrt{255} \)
Since \( \sqrt{255} \) is not a perfect square, we can infer the following about its factors:

1. **Irrational Factors**: Any factors of \( \sqrt{255} \) will likely be irrational numbers unless we specifically choose numbers that, when multiplied, give \( \sqrt{255} \).

2. **Example Factors**: You could express \( \sqrt{255} \) as the product of two factors in various ways, such as:

- \( a = \sqrt{3} \) and \( b = \sqrt{85} \), where \( \sqrt{3} \times \sqrt{85} = \sqrt{15} \)
- \( a = 1 \) and \( b = \sqrt{255} \)

3. **Non-Integer**: Since \( \sqrt{255} \) is not an integer, at least one of the factors must be irrational unless both are chosen to be specific ratios (e.g., fractions).

### Conclusion
In summary, the factors that multiply together to give \( \sqrt{255} \) can be expressed as irrational numbers, and at least one of the factors cannot be expressed as a simple integer. You can choose a multitude of pairs of factors that will satisfy this multiplication problem, but they will generally involve at least one irrational component.