VEDAS are four- Ṛg Veda, Yajur Veda, Sāma Veda and Atharva Veda

The divisions of Vedas are supposed to have happened through the disciples of Vyāsa.

Brahma Deva
I
Vasiṣṭha
I
Śakti
I
Parāśara
I
Vyāsa(Kṛṣṇadvaipāyana)
I
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I                                  I                                     I                                      I
Paila                   Vaiśampāyana                     Jaimini                          Sumantu
I                                   I                                     I                                      I
Ṛg Veda                     Yajur Veda                    Sāma Veda                   Atharva Veda

Ṛg Veda is known to have five branches: Āśvalāyana, Śankhāyana, Śākala, Bhāśkala and Mānḍūkya.

Yajur Veda is further split into two: Kṛṣṇa(Black) Yajur Veda and Śukla(White) Yajur Veda.

There are 86 branches of Yajur Veda according to Caraṇavyūha sutra of Śaunaka. Of these, 71 branches belong to Kṛṣṇa Yajur Veda and 15 to Śukla Yajur Veda.

Sāma Veda is supposed to have a thousand branches. Nine branches are now extant namely: Rāṇāyanῑya, Śāñyāyaniya, Satyamudgalāya, Khalvalā, Mahākhalvalā,Lāngalā, Kauthumā, Gautamā and Jaimini.

Atharva Veda has nine branches: Paippala, Dāṅta, Pradāṅta, Auta, Jāvāla, Śaunaka, Brahmapālaśa, Kunakhῑvedadarśῑ and Cāraṇavidya.