Answer:
The factor of change is 1/4.
Explanation:
Since in this case we have a constant temperature, the changes in the pressure will affect the volume like the Boyle's Law formula explains:
[tex]\begin{gathered} P_1*V_1=P_2*V_2 \\ \end{gathered}[/tex]To find the change of the sample volume, let's replace the initial pressure (P1) with A, and let's increase the pressure (P2) 4x:
[tex]\begin{gathered} P_1*V_1=P_2*V_2 \\ A*V_1=(A*4)*V_2 \\ \frac{A*V_1}{A*4}=V_2 \\ \frac{1}{4}V_1=V_2 \end{gathered}[/tex]So, the factor of change is 1/4.
