I have a N wireless Belkin router model F5D8236-4 v2 which works fine with my windows 7 laptop but recently obtained a Kindle and it will not connect, refusing to accept my password. My son connects fine with my router to his laptop so what's the problem that the Kindle can't?

My monther's issue was because her ISP's (Bell) router, home hub 3000, comes default with the 2.4G and 5G SSID named the same with the same password. So her 2.4G was on a Band that was super weak, like 30%, but her 5G was at 90%. This was causing her wifi connections to use 5G as it was more available. Problem with the kindle is that it is limited to use the 1 - 11 channels / 2.4G only. I resolved this by going to the routers config (192.168.2.1) and changing the SSID from Bell553 to Foxtrot. Then i changed the 5G SSID to Foxtrox-5G and made different passwords for both. Rebooted the router and the kindle was able to connect to the 2.4G network.

I suggest you check two things. 1.) Is your router operating only in "N" mode? 2.) The type of security your router is running maybe something that doesn't work with Kindles.
I looked up the spec on the Kindle. - (Check your router and confirm your using these settings). Supports public and private Wi-Fi networks or hotspots that use the 802.11b, 802.11g, or 802.11n (in b or g compatibility mode) standard with support for WEP, WPA and WPA2 security using password authentication; does not connect to WPA and WPA2 secured networks using 802.1X authentication methods; does not support connecting to ad-hoc (or peer-to-peer) Wi-Fi networks.
If your router is setup with these setting you could try turning off your security on the wireless function of the router just for a test. If the Kindle works without any security then you know that your mode/speed b/g/n is not the problem and you need to setup security differently on your router. If you can try the kindle some with free internet. McDonalds, coffees shop, library, etc. That would confirm the trouble is only at home or with the Kindle.... good luck Kindles are great, hope you get to enjoy it soon. P>S> maybe take it into staples or best buy and asked there tech to check it out.