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Which elements of Z[i] can be factored non-trivially? Explicitly factor out those that can be factored...

Which elements of Z[i] can be factored non-trivially? Explicitly factor out those that can be factored out non-trivially. 3i, 5i, 2 + i, 3 + i, 2, 3, 5, 7, 11, 13, 15. What conjecture can be made about which Gaussian integers can be factored non-trivially?

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