Factris

Choose a mode

Change the stack's width with the − / + buttons (or drag right to widen, left to narrow) until the blocks form a full rectangle that exactly fills the glowing shelf. If the width doesn't fit, the top row stays incomplete — that's not a clean rectangle. Then press Check.

3D math game · Best for grades 3-5

Factris

Factris gives multiplication and factoring a Tetris-style twist. A fixed count of warehouse blocks must be arranged into a perfect rectangle that exactly fills a glowing shelf. Students find a working width — meaning a factor of the total — and the height fills in automatically, making the link between area, arrays, and multiplication facts vivid.

What students practice

Factris builds fluency with factors, multiples, and the relationship between multiplication and area. Searching for a width that works is identical to finding a factor pair, so students internalise factor pairs through spatial trial and error rather than rote memorisation.

  1. Read the total number of blocks shown in the prompt.
  2. Use −/+ buttons or drag left/right to change the width of the stack.
  3. Watch the height adjust so that width × height always equals the total.
  4. Find a width that fills every cell in the glowing shelf with no gaps or overhang, then press Check.

How to use it at home or in class

The shelf holds 12 blocks. Width 3 gives height 4 — the rectangle fills perfectly. Width 5 leaves 2 orphan blocks in the top row — not a factor. Students quickly learn that 1, 2, 3, 4, 6, and 12 all work; 5, 7, 8, 9, 10, 11 do not.

Students often try every number linearly instead of reasoning about factors. Noticing that width × height = total and using that to guess smarter widths is the insight the game is designed to surface.

Use it for individual practice, paired work, or a short class demonstration before worksheets.

Start with the game above, then continue with written practice to reinforce the skill.

Common questions

Which grades is Factris designed for?
Grades 3–5, covering factor pairs, multiples, and area models of multiplication — core content in upper primary arithmetic.
How is this different from Multiplication Array?
Multiplication Array shows a pre-built grid of objects and asks students to count rows × columns. Factris gives a total and asks students to find a valid factor pair by reshaping the stack — it adds the search for factors to the array model.
Does the game show all factor pairs or just one?
The game accepts any valid width. Students who try multiple widths naturally discover all factor pairs of the total, turning the session into an implicit factor-pair audit.