ISP (Internet providers) usually provide layer-3 hand off. The 2960 is simply a layer-2 device with limited layer-3 functionality. What are you trying to do? Are you connecting to 5 different ISPs for Internet access?
As Reza mentioned, you need to be more specific on what you want to achieve. Very common is the following scenario (which I implemented with four ISPs, but you can easily scale up):
The Switch gets five VLANs, e.g. 901,902,903,904,905
You connect the five ISP-devices to Gig1/0/1 (Vl901), Gig1/0/2 (Vl902), ... Gig1/0/5 (Vl905)
One interface (Gig1/0/24) is configured as a trunk
Your layer3-device (most often a firewall or a router) connects to that trunk interface and is configured with five subinterfaces, with IPs from the corresponding ISP.
Failover and load distribution is done by the firewall/router.
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