TIA-568 only recognized cables of Category 3 ratings or above.(wikipedia)
Cat 3 UTP (TechFAQ)
Category 3 UTP is rated to carry data up to 10Mbit/s.
Cat 3 UTP was the standard cable for use with Ethernet 10Base-T.
Cat 4 UTP:
Category 5 UTP no longer common or used in new installations, was frequently used on 16 Mbit/s token ring networks.
Cat 5 UTP
Category 5 UTP is rated to carry Ethernet up to 100Mbit/s and ATM up to 155Mbit/s.
Cat 5 UTP was the standard cable for use with Ethernet 100Base-TX.
Cat 5e UTP
Category 5e UTP is an enhanced version of Cat 5 UTP.
Cat 5e UTP is rated to carry data up to 1000Mbit/s.
Cat 5e UTP is the standard cable for use with Ethernet 1000Base-T.
Cat 5e can also be used to extend the distance of 100Base-TX cable runs up to 350 meters.
Cat 6 UTP
Category 6 UTP is very similar to Cat 5 UTP, except that it is designed and manufactured to even stricter standards.
Category 6 has a minumum of 250 MHz of bandwidth. Allowing 10/100/1000 use with up to 100 meter cable length, along with 10GbE over shorter distances. (Ethernet Cable Identification and Use)
Here is a video help you to remember the Cable Category
ICND1 and ICND2 break down