The arithmetic
File size is driven, before compression, by how many pixels there are. And pixel count is a product of two dimensions, so changing them both compounds.
- 4000 × 3000
- 12,000,000 pixels
- 2000 × 1500
- 3,000,000 pixels — a quarter, from halving each side
- 1000 × 750
- 750,000 pixels — a sixteenth of the original
People consistently underestimate this. "I only halved it" feels like a 50% saving and is actually 75%. It is the single most useful piece of arithmetic in the whole subject.