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Definition of factor: 1. A steward or bailiff of an estate.
2. One of the elements or quantities which, when multiplied together, from a product.
3. One of the elements, circumstances, or influences which contribute to produce a result; a constituent.
4. One who transacts business for another; an agent; a substitute; especially, a mercantile agent who buys and sells goods and transacts business for others in commission; a commission merchant or consignee. He may be a home factor or a foreign factor. He may buy and sell in his own name, and he is intrusted with the possession and control of the goods; and in these respects he differs from a broker.
5. To resolve ( a quantity) into its factors.

Synonyms:

rep, prove, commissary, count, property, grammatical constituent, calibration, absolute, factor out, peculiarity, determine, operator, nature, geocentric, procurator, agentive role, component part, calculate, steward, metric, minister, project, quality, promoter, common multiple, graduation, assess, aspect, computation, administrator, gradation, metrication, doer, circumstance, integrant, common factor, assignee, fixings, building block, real, constant, means, fact, cistron, Arabic numeral, base, add up, imperial, federal agent, gene, measure, envoy, mover, facet, performer, reckon, detail, factor in, chemical element, estimate, particular, arithmetic progression, compute

simplify, clarify, purify, elucidate, strip, reduce, refine

second, proxy, auxiliary, delegate, attorney, go-between, appointee, agency, agent, surrogate, impresario, emissary, ombudsman, mediator, liaison, executor, middleman, intermediary, operative, actor, instrument, vehicle, lieutenant, substitute, deputy, alternate, broker, representative

portion, article, ingredient, material, medium, element, filament, item, segment, section, feature, member, piece, constituent, part, component, matter, fragment, percentage

root, generation, motive, effectuation, basis, cause, determinant, motivator, action, enforcement, provocation, execution, drive, compunction, stimulus, origination, source, inspiration, evocation, grounds, mainspring, compulsion, force, elicitation

differential calculus, radix, square root, index, logarithm, trigonometry, algorithm, calculus, quadratics, reciprocal, algebra, dividend, antilogarithm, subtrahend, multiple, coefficient, multiplicand, integral, multiplicator, numerator, increment, quotient, modulus, cube, fraction, formula, denominator, arithmetic, cube root, exponent, divisor, power, minuend, multiplier, geometry