# 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.

## 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

## 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.
References in periodicals archive ?
Up-regulation of gene expression by hypoxia is mediated predominantly by hypoxia-inducible factor 1 (HIF-1).
Toll-like receptor activation and hypoxia use distinct signaling pathways to stabilize hypoxia-inducible factor 1[alpha] (HIF1A) and result in differential HIF1A-dependent gene expression," Journal of Leukocyte Biology, vol.
The hypoxia-inducible factor a pathway couples angiogenesis to osteogenesis during skeletal development.
Direct transcriptional up-regulation of cyclooxygenase-2 by hypoxia-inducible factor (HIF)-1 promotes colorectal tumor cell survival and enhances HIF-1 transcriptional activity during hypoxia.
Overexpression of hypoxia-inducible factor 1alpha is a marker for an unfavorable prognosis in early-stage invasive cervical cancer.
The expression of hypoxia-inducible factor 1 alfa is a favorable independent prognostic factor in renal cell carcinoma.
Researchers working in genetics, oncology, biology, biochemistry, pediatrics, neuroscience, and other sciences in North America, Europe, and Australia address vascularization, ARD hydroxylation, hypoxia-inducible factor transcription factors, iron and oxygen homeostasis, mechanisms that lead to cell injury and morbidity or adaption and survival, mitochondria, molecular imaging, AMP-activated protein kinase, oxygen sensing in the carotid body, DNA modifications, and other topics.
When you read a paper in a journal of clinical radiology which includes a section headed 'Molecular imaging of the metabolome: hypoxia-inducible factor (HIF) and the Warburg effect', (3) you realise that times are changing, and that we have moved beyond the demonstration of gross anatomy (although that's clearly still important) into a world where we can reveal cellular physiology and pathophysiology on a scale that is several orders of magnitude smaller than anything we have been used to.
The role of the hypoxia-inducible factor in tumor metabolism growth and invasion.

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