Difference between revisions of "Factors Command"
From GeoGebra Manual
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{{command|function}} | {{command|function}} | ||
;Factors[ <Polynomial> ]:Returns list of lists ''{factor,exponent}'' such that product of all these factors raised to corresponding exponents equals the given polynomial. | ;Factors[ <Polynomial> ]:Returns list of lists ''{factor,exponent}'' such that product of all these factors raised to corresponding exponents equals the given polynomial. | ||
| − | {{ | + | :{{example| 1=<div><code><nowiki>Factors[x^8 - 1]</nowiki></code> yields ''{{x - 1, 1}, {x + 1, 1}, {x^2 + 1, 1}, {x^4 + 1, 1}}''.</div>}} |
| − | + | :{{note|Not all of the factors are irreducible over the reals.}} | |
;Factors[ <Number> ]:Returns list of lists ''{prime,exponent}'' such that product of all these primes raised to corresponding exponents equals the given number. Primes are sorted in ascending order. | ;Factors[ <Number> ]:Returns list of lists ''{prime,exponent}'' such that product of all these primes raised to corresponding exponents equals the given number. Primes are sorted in ascending order. | ||
| − | {{ | + | :{{example|1=<div> |
| − | * <code>Factors[1024]</code> returns ''<nowiki>{{2,10}}</nowiki>'', because ''1024=2<sup>10</sup>''. | + | :* <code>Factors[1024]</code> returns ''<nowiki>{{2,10}}</nowiki>'', because ''1024=2<sup>10</sup>''. |
| − | * <code>Factors[42]</code> returns ''{{2,1},{3,1},{7,1}}'', because ''42=2<sup>1</sup>3<sup>1</sup>7<sup>1</sup>''.</div>}} | + | :* <code>Factors[42]</code> returns ''{{2,1},{3,1},{7,1}}'', because ''42=2<sup>1</sup>3<sup>1</sup>7<sup>1</sup>''.</div>}} |
| − | {{ | + | {{note|See also [[PrimeFactors Command]] and [[Factor Command]].}} |
Revision as of 12:07, 23 August 2011
- Factors[ <Polynomial> ]
- Returns list of lists {factor,exponent} such that product of all these factors raised to corresponding exponents equals the given polynomial.
- Example:
Factors[x^8 - 1]yields {{x - 1, 1}, {x + 1, 1}, {x^2 + 1, 1}, {x^4 + 1, 1}}.
- Note: Not all of the factors are irreducible over the reals.
- Factors[ <Number> ]
- Returns list of lists {prime,exponent} such that product of all these primes raised to corresponding exponents equals the given number. Primes are sorted in ascending order.
- Example:
Factors[1024]returns {{2,10}}, because 1024=210.Factors[42]returns {{2,1},{3,1},{7,1}}, because 42=213171.
Note: See also PrimeFactors Command and Factor Command.
