I need to find the 32-bit version, and all I keep finding is the 64-bit. Can anyone provide me with a link?
The most popular currently supported Ubuntu releases can always be found here. If the flavor you are looking for isn't there, try this page. The 32 bit version files end in
-i386.iso while the 64 bit versions end in
-amd64.iso but also run on Intel 64-bit CPU's.
Regardless of which flavor iso you decide to install, it's always prudent to insure that you have a valid download by checking the hash.
This answer should not only work now, but into the future as well. If you've landed here because you can't find the 32-bit live installer you can still use the network installer found here as mentioned in this answer.
Comments and links about LTS systems
The answer by @ElderGeek is independent of the current versions and therefore very good.
I want to add some details to that answer in order to find the version with the longest remaining support time (until 'end of life'), which is often the first point release of an LTS release. Right now, when this is written, it is Ubuntu 16.04.1 LTS, and I cannot find its iso files via the links in the answer by @ElderGeek.
The support intervals are described with details and diagrams in this link,
The kernel series of the second, third and fourth point releases are different from the kernel series of the first point release, and are not supported for a long time. The hardware enablement stack must/will be upgraded according to these links,
in order to keep everything up to date (including security updates of the kernel).
Problems are reported, I think particularly for old hardware, where you would use 32-bit Ubuntu or a light-weight 'Ubuntu community flavour', Lubuntu, Ubunntu MATE or Xubuntu. Some of these problems can be found, if you type HWE into the 'Search Q&A' window near the top right corner of the web browser's window with AskUbuntu (and press Enter).
The kernel series of the fifth point release is that of the next LTS relesase and has long time support.
Strategy for a stable and reliable system
I suggest a strategy using LTS releases at this link,
Get the iso files
Start looking for the iso files of the version with the longest remaining support via these links,
If the iso files of the version with the longest remaining support are not found via those links, you can find them via the following general link,
and right now, when this is written, you want to find Ubuntu 16.04.1 LTS via the following link,