Using the rewrite engine is a pretty heavyweight way to solve this problem. Here is a simpler solution:
<VirtualHost *:80>
ServerName example.com
Redirect permanent / http://www.example.com/
</VirtualHost>
<VirtualHost *:80>
ServerName www.example.com
# real server configuration
</VirtualHost>
And then you’ll have another <VirtualHost> section with ServerName www.example.com for your real server configuration. Apache automatically preserves anything after the / when using the Redirect directive, which is a common misconception about why this method won’t work (when in fact it does).