Because buying plants in large quantities is expensive many gardeners will look for other ways to acquire more flowers. One way to get plants for free is by increasing your stock of existing plants by propagation. The three main methods are by division, cuttings and saving seeds. These techniques are described in an article by Marianne Lipanovich which I found on the Houzz website.

It?s amazing how quickly buying a few plants can add up to a fairly big monetary outlay. Fortunately, there are time- and gardener-honored ways of getting plants for little or no cost. You can get offsprings of your (or your friends?) plants for free, whether it?s by gathering seeds, getting divisions or starting new plants from stems or leaves. Which method you choose depends on the plant, although some can be propagated by several methods.

Holly Marder

Spider plant with plantlets
Annuals, biennials, perennials and, of course, vegetables are the easiest plants to start with, but if you find a seedling started from a shrub or tree, treat it as you would a stem cutting and see if you can get it to grow.
You also can often find people offering their excess plants on neighborhood lists and Craigslist, many of which might not be readily available in seed packets or nurseries. This is especially true for edible gardeners. They often start far more seedlings than they can easily use.
Rooting Plantlets
Some plants are too easy to propagate. They produce baby clones, called plantlets or offsets, that can be easily rooted to give you more plants.

Bliss Garden Design

Hens-and-chicks
Best choices: Hens-and-chicks (Sempervivum spp.), spider plants (Chlorophytum comosum) and creeping saxifrage, also called strawberry begonia (Saxifraga stolonifera).

What to watch for: If you can, water the plant well before removing a plantlet to ease stress.

Edward Davis Landscape Architect

Creeping saxifrage grows in the front of this planter, with Heuchera ?Palace ?Purple? and Iris tectorum behind it.