Factoria

Place counters by making products from factor pairs. Line up 4 in a row while blocking your opponent and sharpening factor fluency.

FactorsMultiplesProductsStrategy

Game guide

Factors and multiples

Claim the products. Line up 4.

Choose two factors, claim their product, and try to make four in a row.

Games played0Red 0 · Blue 0 · Draws 0

Mission setup

Choose the board, opponent, and optional challenge rules.

Mission modePlay againstAI difficultyShow blocked prime squaresLimit factor useTurn timerSound effects

Factor strategy

Composite numbers can be claimed. Hidden blocked squares still behave exactly like blocked squares.

Factoria guide

How Factoria supports maths practice

Factoria turns factor pairs and products into a tactical grid game. Players claim numbers by entering valid factors, then try to connect four counters while blocking their opponent.

How to play

Start a human or AI match on the 12 by 12 product grid.
Enter two factors whose product matches the square you want to claim.
Use factor knowledge to build a line of four counters.
Block strong opponent lines while looking for flexible factor pairs.

Skills practised

Factor pairs and products
Multiples and divisibility
Times table fluency
Strategic reasoning with number properties

Teacher notes

Useful after introducing factors, multiples, square numbers, and prime numbers.
Encourage pupils to explain why a move is valid before submitting it.
Pairs can discuss whether to play defensively or chase their own line of four.