# Displaying factorials

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This is really a TeX/LaTeX question, but I wasn't sure where to put it. (Sorry!)

I was looking at "Factoring Factorial n" (Guy, Amer. Math. Monthly Oct. '98) and became interested in looking at large factorials. Before I could really get started manipulating them I wanted a good way to store them so I'm not doing so much algebraic manipulation by hand. This was when I realized that there was no good way to display them -- I don't know how to make LaTeX wrap the expression in math mode.

Is there a good way to do that? Here's an example of what I have, in the tersest format I was able to manage:
$$1000!=2^{994}3^{498}5^{249}7^{164}11^{98}13^{81}17^{61}19^{54}23^{44}29^{35}31^{33}37^{27}41^{24}43^{23}47^{21}53^{18}59^{16}61^{16}67^{14}71^{14}73^{13}79^{12}83^{12}89^{11}97^{10}101^9103^9107^9109^9113^8127^7131^7137^7139^7149^6151^6157^6163^6167^5173^5179^5181^5191^5193^5197^5199^5211^4223^4227^4229^4233^4239^4241^4251^3257^3263^3269^3271^3277^3281^3283^3293^3307^3311^3313^3317^3331^3337^2347^2349^2353^2359^2367^2373^2379^2383^2389^2397^2401^2409^2419^2421^2431^2433^2439^2443^2449^2457^2461^2463^2467^2479^2487^2491^2499^2503\cdot509\cdot521\cdot523\cdot541\cdot547\cdot557\cdot563\cdot569\cdot571\cdot577\cdot587\cdot593\cdot599\cdot601\cdot607\cdot613\cdot617\cdot619\cdot631\cdot641\cdot643\cdot647\cdot653\cdot659\cdot661\cdot673\cdot677\cdot683\cdot691\cdot701\cdot709\cdot719\cdot727\cdot733\cdot739\cdot743\cdot751\cdot757\cdot761\cdot769\cdot773\cdot787\cdot797\cdot809\cdot811\cdot821\cdot823\cdot827\cdot829\cdot839\cdot853\cdot857\cdot859\cdot863\cdot877\cdot881\cdot883\cdot887\cdot907\cdot911\cdot919\cdot929\cdot937\cdot941\cdot947\cdot953\cdot967\cdot971\cdot977\cdot983\cdot991\cdot997$$

It won't even display here on the forums (at least not all of it), but you get the idea.

I'd like to find a method better than splitting it into lines manually with \noindent... :yuck:. Thanks!

Homework Helper
Is there a better place to post this to get a response?

Hurkyl
Staff Emeritus