# Composite Factorization

## Jelly, 12 bytes

```
»0Æf×Ṫ$-¦×2/
```

Try it online!

### How it works

```
»0Æf×Ṫ$-¦×2/ Main link. Argument: n
»0 Take the maximum of n and 0.
Jelly's prime factorization does weird things for negative numbers.
Æf Take the prime factorization of the maximum.
¦ Conditional application:
×Ṫ$ Pop the last element of the array and and multiply all elements
of the remaining array with it.
- Replace the element at index -1 with the corresponding element in
the result.
This effectively multiplies the last two elements of the array.
×2/ Multiply the factors in non-overlapping pairs. If the last element
does not have a partner, leave it unmodified.
```