Factors Command

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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.
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] yields {{2, 10}}, because 1024 = 210.
  • Factors[42] yields {{2, 1}, {3, 1}, {7, 1}}, because 42 = 21 31 71.

CAS Syntax

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}}, displayed as \begin{pmatrix} x-1&1\\ x+1&1\\ x^2+1&1\\ x^4+1&1

\end{pmatrix}
.
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] yields {{2, 10}}, displayed as \begin{pmatrix} 2&10 \end{pmatrix}, because 1024 = 210.

    • Factors[42] yields {{2, 1}, {3, 1}, {7, 1}}, displayed as \begin{pmatrix} 2&1\\ 3&1\\ 7&1

      \end{pmatrix}
      , because 42 = 21 31 71.
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