# factor

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## factor,

in arithmetic, any number that divides a given number evenly, i.e., without any remainder. The factors of 12 are 1, 2, 3, 4, 6, and 12. Similarly in algebra, any one of the algebraic expressions multiplied by another to form a product is a factor of that product, e.g., a+b and ab are factors of a2b 2, since (a+b)(ab)=a2b2. In general, if r is a rootroot,
in mathematics, number or quantity r for which an equation f(r)=0 holds true, where f is some function. If f is a polynomial, r is called a root of f; for example, r=3 and r
of a polynomialpolynomial,
mathematical expression which is a finite sum, each term being a constant times a product of one or more variables raised to powers. With only one variable the general form of a polynomial is a0xn+a1x
equation f(x)=0, then (xr) is a factor of the polynomial f(x).

## factor

[′fak·tər]
(mathematics)
For an integer n, any integer which gives n when multiplied by another integer.
For a polynomial p, any polynomial which gives p when multiplied by another polynomial.
For a graph G, a spanning subgraph of G with at least one edge.
(statistics)
A quantity or a variable being studied in an experiment as a possible cause of variation.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## factor

1. Maths
a. one of two or more integers or polynomials whose product is a given integer or polynomial
b. an integer or polynomial that can be exactly divided into another integer or polynomial
2. Med any of several substances that participate in the clotting of blood
3. Law, Commerce a person who acts on another's behalf, esp one who transacts business for another
4. former name for a gene
5. Commercial law a person to whom goods are consigned for sale and who is paid a factorage
6. (in Scotland) the manager of an estate
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## factor

A quantity which is multiplied by another quantity.

## factor

A number that divides evenly into another number. For example, 3 and 4 are factors of 12. See factorial and IFP.
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References in periodicals archive ?
The addition of anti-TNF-[alpha] to M-CSF + RANKL treatment led to a significant reduction in the area of resorption on the surface (Figures 1(c) and 1(d)) and under the surface (Figure 1(e)) only in Charcot patients but not in diabetic patients or healthy control subjects.
Teitelbaum, "M-CSF mediates TNF-induced inflammatory osteolysis," Journal of Clinical Investigation, vol.
The sequences of the primers (synthesized by Sangon Biotech) for the target genes were as follows: Fwd 5'-CTCACAAGCAG AGCACAAGC-3' and Rev 5'-TCCAGCCCATACTTTA GGAAGA-3' for IL-1[beta], Fwd 5'-GGTGCCTATGTCTCAG CCTC-3' and Rev 5'-CCACTTGGTGGTTTGTGAGTG-3' for TNF-[alpha], Fwd 5'-TGCACTACCAAAGCCACAAG-3' and Rev 5'-TGATCCTCATGCCAGTCAGT-3' for IL-10, Fwd 5'-TGAGTCTGTCTTCCACCTGCT-3' and Rev 5'-CCAA TGTCTGAGGGTCTCG-3' for M-CSF, and Fwd 5'-TGGT CTACAGCCTCTCAGCA-3' and Rev 5'-GACGACTTCTA CCTCTTCATTCAAC-3' for GM-CSF.
Elevated umbilical cord plasma MMP-9, C5a, M-CSF, and endostatin levels were not associated with hearing screen failure.
BMMs (5 x [10.sup.4] cells/well) were seeded into an Osteo assay plate (Corning, NY) and cultured with [alpha]-MEM containing 10% FBS, M-CSF (30 ng/ml), and sRANKL (100 ng/ml) for 5 days.
BMMs were seeded into Osteo assay plates and cultured with M-CSF and RANKL for 3 days until multinudeated osteoclasts were formed, and then they were treated with the R.