Multiply and divide your token by primes to land it exactly on the target, capturing rivals you share a factor with along the way.
Your token sits on a number track shown on a logarithmic scale. Multiply or divide by the primes 2, 3, 5 and 7 to change its value, aiming to land precisely on the target number. You can only divide by a prime that currently divides your position; capture rival markers by sharing a prime factor with them.
Factorscape is built on prime factorization, turning the building blocks of numbers into a landscape to navigate.
Moving a token by multiplying or dividing only by 2, 3, 5 and 7, and only dividing by a prime that currently divides your position, is the fundamental theorem of arithmetic made into a movement rule: every integer has one prime factorisation, and that factorisation is what you can move along.
Drawing the track on a logarithmic scale is the design choice that makes it legible.
On a linear track, multiplying by 2 covers a wildly different distance depending where you stand; on a log scale it is always the same step. That is exactly what logarithms are for — turning multiplication into addition — so the board itself is teaching why the scale exists.
Factorscape is an original free browser math game built on prime factorization, turning the building blocks of every number into the moves of a capture-and-target puzzle.