factorableadj.
/ˈfakt(ə)rəbl/, U.S. /ˈfæktərəbəl/ Mathematics.
Capable of being factorized; expressible as a product of factors; = factorizable adj.
ΘΚΠ
the world > relative properties > number > arithmetic or algebraic operations > [adjective] > relating to factors or factorization
factorable1884
factorizable1898
factorial1907
1884 Ann. Math. 1 105 Equation (16) becomes (s − R') x2 + (s + R') y2 = 0, which, since R' > s, is factorable into two equations of the first degree.
1931 L. J. Rouse College Algebra iii. 37 If the trinomial is factorable we must find two numbers whose product is ac and whose sum is b.
1966 C. S. Ogilvy & J. T. Anderson Excursions Number Theory 146 2 and 47 are examples of primes; 20 is composite, being factorable into 2 × 2 × 5.
2007 R. Oman & D. Oman Calculus Utterly Confused i. 13 If the quadratic function is factorable then the places where it crosses the x-axis are obtained directly from the factored form.
Derivatives
ˌfactoraˈbility n. the property of being factorable; = factorizability n. at factorizable adj. Derivatives.
ΚΠ
1889 Education June 702 The homogeneous equation furnishes, by its characteristic property of factorability, the only distinguishing feature.
1937 Amer. Math. Monthly 44 575 These properties give us a criterion for factorability.
2004 P. Fallon & P. Schofield in A. G. Woodside et al. Consumer Psychol. of Tourism, Hospitality & Leisure xvii. 206/2 The Bartlett's test of sphericity reached statistical significance, supporting the factorability of the correlation matrix.
This entry has been updated (OED Third Edition, September 2014; most recently modified version published online March 2022).
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adj.1884