Should I always make my methods static where possible?

I have often pondered this one... its probably an idiot question but here goes.

Say I have this class:

public class SomeClass
{
    public int AProperty { get; set; }

    public void SomeMethod()
    {
        DoStuff(AProperty);
    }
}

Is there any advantage to doing this:

public class SomeClass
{
    public int AProperty { get; set; }

    public static void SomeMethod(int arg)
    {
        DoStuff(arg);
    }
}

The only advantage that is obvious is that I can now access SomeMethod directly.

So is it good practice to make these kind of methods static where a little refactoring will allow or is it a waste of my time?

EDIT: I forgot to mention (and ShellShock's comment reminded me) that the reason I ask is that I use ReSharper and it always makes suggestions that 'Method X can be made static' and so on...