Comment #3 on issue 2003 by smichr: Use factorint() with limit argument in sympy/core/numbers.py
http://code.google.com/p/sympy/issues/detail?id=2003
tentative changes in t2 under commit 2003. I'm not following everything you are saying in comment 2, however.
(The factorials are examples of numbers that have lots of little factors, e.g. 100! has no factors greater than at most, 100, even though it is 158 digits long.)
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