What factors determine a planet's gravity?

In Science Fiction we often see the protagonists exploring all sorts of strange new worlds with no apparent discomfort to the variations in gravity.

What factors determine how strong the gravity will be on a planet? Is it purely based on the size of the planet in question or are other factors like core density involved?

In short: is it possible for a human to walk on the surface of a planet which is a thousand times the size of the earth without being crushed?

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What factors determine a planet's gravity?

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