Difference between revisions of "Factors Command"

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;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>PrimeFactorization[1024]</code> returns ''{(2,10)}'', because ''1024{{=}}2<sup>10</sup>''.
+
* <code>Factors[1024]</code> returns ''{(2,10)}'', because ''1024{{=}}2<sup>10</sup>''.
* <code>PrimeFactorization[42]</code> returns ''{(2,1),(3,1),(7,1)}'', because ''42{{=}}2<sup>1</sup>3<sup>1</sup>7<sup>1</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>''.}}
 
{{Note|See also [[PrimeFactors Command]].}}
 
{{Note|See also [[PrimeFactors Command]].}}

Revision as of 16:17, 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.


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.
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