#### Answer

The temperature increases by a factor of 3

#### Work Step by Step

We can use the ideal gas law to solve this question:
$PV = nRT$
$T = \frac{PV}{nR}$
We first write an expression for the initial temperature:
$T_1 = \frac{PV_1}{nR}$
We then find an expression for the new temperature $T_2$:
$T_2 = \frac{PV_2}{nR}$
$T_2 = \frac{(P)(3V_1)}{nR}$
$T_2 = 3~\frac{PV_1}{nR}$
$T_2 = 3~T_1$
The temperature increases by a factor of 3.