Difference between revisions of "Factors Command"
From GeoGebra Manual
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;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. | ||
{{Note|Not all of the factors are irreducible over the reals.}} | {{Note|Not all of the factors are irreducible over the reals.}} | ||
| + | {{Example| | ||
| + | * <code>Factors[x^8-1]</code> returns ''{{x-1,1},{x+1,1},{x^2+1,1},{x^4+1,1}}''. | ||
{{description}} | {{description}} | ||
;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| | {{Example| | ||
| − | * <code>Factors[1024]</code> returns ''{ | + | * <code>Factors[1024]</code> returns ''{{2,10}}'', because ''1024{{=}}2<sup>10</sup>''. |
| − | * <code>Factors[42]</code> returns ''{ | + | * <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>''.}} |
| − | {{Note|See also [[PrimeFactors Command]].}} | + | {{Note|See also [[PrimeFactors Command]] and [[Factor Command]].}} |
Revision as of 17:20, 28 February 2011
- Factors[ <Polynomial> ]
- Returns list of lists {factor,exponent} such that product of all these factors raised to corresponding exponents equals the given polynomial.
Note: Not all of the factors are irreducible over the reals.
{{Example|
Factors[x^8-1]returns {{x-1,1},{x+1,1},{x^2+1,1},{x^4+1,1}}.
 |
Description of command / feature needed. Please enter it instead of this template into Manual:Factors Command. so that it's included also to the public namespace. For more details see Project:HowTo |
- 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 Template: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.
