6.5.6  Matrix of factors: maple_ifactors

The maple_ifactors command decomposes an integer into prime factors, and returns the result in Maple syntax.

• maple_ifactors takes one argument:
  n, an integer or a list of integers.
• maple_ifactors(n) decomposes the integer n (or the integers of the list) into prime factors, given as a list following the Maple syntax; namely, a list starting with +1 or -1 (for the sign), then a matrix with 2 columns whose rows are the prime factors and their multiplicity (or a list of such lists).

Examples.

• Input:
  maple_ifactors(90)
  Output:

  ⎡ ⎢ ⎢ ⎣

  1,

  ⎡ ⎢ ⎢ ⎣

  2 1                     3 2                     5 1

  ⎤ ⎥ ⎥ ⎦

  ⎤ ⎥ ⎥ ⎦

• Input:
  maple_ifactor([36,52])
  Output:

  ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣

  1 ⎡ ⎢ ⎣                          2 2                          3 2 ⎤ ⎥ ⎦                1 ⎡ ⎢ ⎣                         2 2                         13 1 ⎤ ⎥ ⎦

  ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦