If one has a solution of 0.10 m silver nitrate and it is diluted by a factor of two, what is the new concentration

The new concentration would 0.05 M

Dilution factors are the number of times a solution is diluted such that the volume is multiplied each time.

Thus, multiplying the volume of a solution means that the concentration is divided each time.

For example, a solution that is diluted by a factor of two means that the volume is multiplied by two. When this happens, the concentration would be divided by two.

Thus, for a 0.1 M solution diluted by a factor of 2, the new concentration would be:

                   0.1/2 = 0.05 M

More on dilution can be found here: link

not clear