Matrix of factors

### 7.1.6 Matrix of factors

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

- maple_ifactors takes 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

maple_ifactors(90)

| ⎡ ⎢ ⎢ ⎣ | 1, |
⎡ ⎢ ⎢ ⎣ |
2 | 1
3 | 2
5 | 1
| ⎤ ⎥ ⎥ ⎦
| ⎤ ⎥ ⎥ ⎦

maple_ifactor([36,52])

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