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fac·to·ri·al  (f?k-tôr??-?l)n. The product of all the positive integers from 1 to a given number: 4 factorial, usually written 4!, is equal to 24 (1 × 2 × 3 × 4 = 24).adj. Of or relating to a factor or factorial.American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.factorial (fæk?t??r??l) mathsn (Mathematics) the product of all the positive integers from one up to and including a given integer. Factorial zero is assigned the value of one: factorial four is 1 × 2 × 3 × 4. Symbol: n!, where n is the given integeradj (Mathematics) of or involving factorials or factors fac?torially advCollins English Dictionary ? Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014fac?to?ri?al (fæk?t?r i ?l, -?to?r-) n. 1. the product of a given positive integer multiplied by all lesser positive integers: The quantity four factorial (4!) = 4 ? 3 ? 2 ? 1 = 24.Symbol: n!, where n is the given integer. adj. 2. of or pertaining to factors or factorials. 3. of or pertaining to a factor or a factory. [1810?20] fac?to?ri?al?ly, adv. Random House Kernerman Webster’s College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.fac·to·ri·al (f?k-tôr??-?l) The product of all of the positive integers from 1 to a given positive integer. It is written as the given integer followed by an exclamation point. For example, the factorial of 4 (written 4!) is 1 × 2 × 3 × 4, or 24.The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.