Core Skills
Prime Factory
Crack the rock, mine the primes. Every number is a chunk of glowing ore you split with prime tools — and when nothing fits, YOU make the call: prove the piece is prime and claim it 💎. Forge gems back up to a target, fill the Catalog, and feel two different routes collide into the same prime DNA. 5 levels, all open from the start. Solo, no login.
For Educators
Built for the classroom
Prime factorization — students DO the factoring with their hands: crack numbers into prime “gems”, prove a piece is prime by ruling out every prime up to its square root (the claim is earned, never given), then forge gems back up to a target. Builds factors, primes, unique factorization (Twin Route shows two different routes hit the same primes), exponents, squares/cubes, and GCD/LCM — discovered through play, not memorized as rules.
Open to all — 5 levels, one per thinking move. The same crack action scales from “8 = 2×2×2” up to GCD/LCM and √ simplification.
Three ways to play
-
Play free (solo)
No login. Crack numbers into prime gems, fill the Catalog, and play any of the 5 levels plus the Forge, Twin Route, Twin Lens, and Stations workshops — all open from the start, at your own pace.
-
Project it in class
Open on the board and crack numbers together as a warm-up — let students predict the next prime tool and read the factor tree aloud.
-
Assign as practice
Point students at a level or the Catalog for targeted factoring practice (primes, squares, GCD/LCM). Progress saves on each device — no accounts.
Run a live class in 5 steps
- Open Prime Factory on the projector and pick Level 1 — crack a number into its prime gems together.
- Before each tap, ask students to predict which prime tool will break it — and when nothing fits, ask how they could PROVE the piece is prime.
- Open Twin Route to show two different first cuts reaching the SAME prime DNA — that’s unique factorization, felt.
- Send students to their own devices to fill the Catalog and explore all 5 levels at their own pace.
- No accounts — each child’s progress saves locally in their browser.
Tip: host on a laptop or projector (the big screen shows the code, QR and leaderboard); students join on their phones or laptops.
