Answer
$8.620\times10^{-8}\frac{keV}{K}$
Work Step by Step
Use the relation KE = kT.
To convert from kelvins to keV, use the Boltzmann constant, expressed in the proper units.
$$k=(1.381\times10^{-23}\frac{J}{K})(\frac{1\;eV}{1.602\times10^{-19}J})(\frac{1\;keV}{1000\;eV})$$
$$k=8.620\times10^{-8}\frac{keV}{K}$$
