yes, you need to relieve the stress of the tiles and cut through the grout joints to pry them up.

There is no guarantee and depends on the tile, setting mortars used, and care used when trying to remove them, to determine success.

just go slow and work each side of the tile after you have removed the grout, and most will pop full.

We use a diamond blad on a 4-1/2" angle grinder to cut through and remove the grout, and a small 1/4" cold chisel; and a light hammer to gently tap under each side of the tile a little at a time until it pops.

good luck.

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how do you clean the setting motor of the back of the saved floor tile ?

I just finished cleaning old ceramic bathroom floor tiles and found the following products the safest and most effective for cleaning: To clean mortar I soaked tiles in vinegar (sometime several days for tough patches) and scraped the mortar off with a paint scraper. I needed to repeat this process on a few tiles. The acidic vinegar works well and is safe.
Caulk removal was a bit harder, but after trying many chemicals listed on various DIY sites, I found Goof-off worked well and had less odor than WD40, which also worked pretty well. My tile had a matte glaze, which made it more difficult to clean, but not impossible. After scraping off most of the caulk with a razor blade, I sprayed the product and scrubbed with a plastic mesh scrubbie. The hardest part was cleaning the greasy tile afterward which was accomplished by lots of soap and hot water, then a final cleaning with alcohol.