# 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.
Copyright © 1981-2019 by The Computer Language Company Inc. All Rights reserved. THIS DEFINITION IS FOR PERSONAL USE ONLY. All other reproduction is strictly prohibited without permission from the publisher.
References in periodicals archive ?
The final Factor Analysis was run again on 44 items, the sampling adequacy was good and the correlations in the matrix were significantly different form zero and therefore factorable. Again, Factor Analysis using the Maximum Likelihood technique with Direct Oblimin oblique rotation method was chosen.
When considering the properties of factorable matrices, many authors have used methods similar to the methods for Riesz matrices (see for example [1,7,9,10]), which often generated quite lengthy proofs.
In the design of the spectral algorithm we used parts of the code of the analytical algorithm [ARFact-Scalar] (see [19]), that computes explicit factorizations for any factorable rational scalar function defined on the unit circle.
We say that an operator T: X [right arrow] E is p-th power factorable if there exists an operator [T.sub.[p]] : [X.sub.[p]] [right arrow] E, which equals T over X [subset or equal to] [X.sub.[p]].
CLA's cost function is not directly related to a proximity measure between the frequency response characteristics of the filters, but is based on the Mean Square Error (MSE) criterion between the output of the original polynomial and the output of the resulting factorable polynomial for various real values of [absolute value of [z.sub.1]] < 1 and [absolute value of [z.sub.2]] < 1.
Let M be an Orlicz function and p = ([p.sub.k,l]) be a factorable double sequence of strictly positive real numbers.
Correlation coefficients may be factorable. Factor analysis revealed that 3 of the 7 factors have Eigen values greater than one and were selected as independent variables for multiple regression model (Tabachnick and Fidell, 2001; Johnson and Wichern, 2002).
The determinant was neither an identity matrix nor singular suggesting that the correlation matrix was factorable. Another method to determine the appropriateness of factor analysis is Bartlett's test of sphericity, which is recommended if there are fewer than five cases per variable (Tabachnick and Fidell, 2007).
Validity Tests We began by performing the Kaiser-Meyer-Olkin (KMO) test and Bartlett's test for sphericity to determine if the scales were adequately factorable (Bartlett, 1951; Kaiser, 1974).
And, typically, the factor will place caps and limits on the maximum factorable balance from each customer.
On the other hand, there exist some restrictions: This method can be used only for the factorable systems and the basic version of this method is non-universal.
Hence, the KMO statistic and Bartlett's test of Sphericity (P<O) suggest that the correlation matrix is factorable and that there are some underlying factor/dimensions that may explain the variance of 15 items.

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