  We gather together several bounds on the sizes of coefficients which can
appear in factors of polynomials in Z[x]; we include a new bound which was
latent in a paper by Mignotte, and a few minor improvements to some existing
bounds. We compare these bounds and show that none is universally better than
the others. In the second part of the paper we give several concrete examples
of factorizations where the factors have "unexpectedly" large coefficients.
These examples help us understand why the bounds must be larger than you might
expect, and greatly extend the collection published by Collins.
