Answer
$\gamma = 534$
Work Step by Step
We can find $\gamma$:
$K = mc^2(\gamma-1)$
$\frac{K}{mc^2} = \gamma-1$
$\gamma = \frac{K}{mc^2}+1$
$\gamma = \frac{500\times 10^9~eV}{938\times 10^6~eV}+1$
$\gamma = 534$
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