Difference between revisions of "Factors Command"
From GeoGebra Manual
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{{Example| <code>Factors[x^8-1]</code> returns ''{{x-1,1},{x+1,1},{x^2+1,1},{x^4+1,1}}''.}} | {{Example| <code>Factors[x^8-1]</code> returns ''{{x-1,1},{x+1,1},{x^2+1,1},{x^4+1,1}}''.}} | ||
;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|1=<div> |
| − | * <code>Factors[1024]</code> returns ''<nowiki>{{2,10}}</nowiki>'', because ''1024 | + | * <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 | + | * <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]].}} | {{Note|See also [[PrimeFactors Command]] and [[Factor Command]].}} | ||
Revision as of 01:51, 16 April 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}}.- 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.
