Several parts combine into one character.

点 comes from the traditional 點. The traditional 點 is a phono-semantic character: 黑 (black) carries the meaning, 占 (to divine) lends the sound — a small black mark, a dot. In the shinjitai and simplified scripts it was greatly reduced to 点, with the fire foot 灬 (火) replacing 黑.

So the form splits: traditional (ko/en/es) is 點, shinjitai (ja) and simplified (zh) are 点 — a sharp difference in stroke count (點 17 strokes vs 点 9).

Korean hanja-sound "jeom": 點數 (jeomsu, score / points), 點線 (jeomseon, dotted line), 據點 (geojeom, a base), 焦點 (chojeom, focus), 點檢 (jeomgeom, inspection). Korea uses the traditional 點.

Mandarin: diǎn, 3rd tone. 点 (diǎn, dot), 点钟 (diǎnzhōng, o'clock — 三点 three o'clock), 点心 (diǎnxīn, dim sum / a snack), 点菜 (diǎncài, to order dishes), 重点 (zhòngdiǎn, key point). It is a core character for telling time and ordering food.

Japanese: on-reading テン (ten), kun つ.ける (tsukeru) and つ.く (tsuku). 点 (ten, dot/point), 点数 (tensū, score), 焦点 (shōten, focus), 点火 (tenka, ignition), 百点 (hyakuten, full marks). The kun "to light / ignite" shows that 點 originally meant "to make a black mark" → "to set alight."

Memory aid: a single small black mark — the traditional form with black 黑, the simplified and shinjitai with fire 灬.