/usr/share/calc/help/factor is in apcalc-common 2.12.4.4-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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factor - smallest prime factor not exceeding specified limit
SYNOPSIS
factor(n [, limit [, err]])
TYPES
n integer
limit integer with abs(limit) < 2^32, defaults to 2^32 - 1
err integer
return positive integer or err
DESCRIPTION
This function ignores the signs of n and limit, so here we shall
assume n and limit are both nonnegative.
If n has a prime proper factor less than or equal to limit, then
factor(n, limit) returns the smallest such factor.
NOTE: A proper factor of n>1 is a factor < n. In other words,
for n>1 is not a proper factor of itself. The value 1
is a special case because 1 is a proper factor of 1.
When every prime proper factor of n is greater than limit, 1 is
returned. In particular, if limit < 2, factor(n, limit) always
returns 1. Also, factor(n,2) returns 2 if and only if n is even
and n > 2.
If 1 < n < nextprime(limit)^2, then f(n, limit) == 1 <==> n is prime.
For example, if 1 < n < 121, n is prime if and only if f(n,7) == 1.
If limit >= 2^32, factor(n, limit) causes an error and factor(n,
limit, err) returns the value of err.
EXAMPLE
; print factor(35,4), factor(35,5), factor(35), factor(-35)
1 5 5 5
; print factor(2^32 + 1), factor(2^47 - 1), factor(2^59 - 1)
641 2351 179951
LIMITS
limit < 2^32
LINK LIBRARY
FLAG zfactor(ZVALUE n, ZVALUE limit, ZVALUE *res)
SEE ALSO
isprime, lfactor, nextcand, nextprime, prevcand, prevprime,
pfact, pix, ptest
## Copyright (C) 1999-2006 Landon Curt Noll
##
## Calc is open software; you can redistribute it and/or modify it under
## the terms of the version 2.1 of the GNU Lesser General Public License
## as published by the Free Software Foundation.
##
## Calc is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
## Public License for more details.
##
## A copy of version 2.1 of the GNU Lesser General Public License is
## distributed with calc under the filename COPYING-LGPL. You should have
## received a copy with calc; if not, write to Free Software Foundation, Inc.
## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
##
## @(#) $Revision: 30.1 $
## @(#) $Id: factor,v 30.1 2007/03/16 11:10:42 chongo Exp $
## @(#) $Source: /usr/local/src/cmd/calc/help/RCS/factor,v $
##
## Under source code control: 1995/12/18 12:34:57
## File existed as early as: 1995
##
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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