可分为 / 分为【kě fēnwéi / fēnwéi】

可分为fēn wéi introduces a classification: the topic first, then the parts it splits into. After 分为 comes either the number of types with a measure word, often followed by a colon and the list, or the types themselves.

The measure word after the number is usually 类 or 种 for kinds, and 个部分 for parts of a whole. When the list comes first, the number and measure word close the phrase: 分为初赛和决赛两个阶段.

分为 without 可

可 adds "can be": the writer is offering one way of sorting the topic. A division that is simply a fact – a book's chapters, a competition's rounds – takes plain 分为.

With 把, the person doing the dividing becomes the subject.

分成 means the same and is the spoken form: 把蛋糕分成四块.

Mistakes

The number needs a measure word, and 为 and 成 do the same job, so only one of them goes in.

• × 可分为三：… → 可分为三类：…
• × 本文可分为成四部分 → 本文可分为四部分