How to Play

🔢 First Prompt: Start Your Search

Choose a mode — Multiplication, Division, Factorization, or Mixed. A banner at the top presents a question such as “What is 6 × 7?” or “Which pair multiplies to 24?” Your task is to use the grid to locate the answer.

🗺️ Use the Grid as Your Map

Follow one number down from the top and the other across from the left. Where they meet is your product. Tap that cell to light up a rectangle that highlights the whole area created by the two numbers — a visual explanation of why multiplication works the way it does.

In Factorization mode, any pair that produces the target number is correct. Tap one, and the grid immediately shows the rectangle corresponding to your chosen factor pair.

🏁 Finish the Round

Each round contains ten prompts. Work through all ten, then switch modes to explore how the same grid supports different kinds of thinking — finding products, reversing division, revealing factors, or blending all three.

Study Notes

🔍 Patterns Hidden in the Table

The main diagonal shows square numbers: 1, 4, 9, 16, 25… Because the grid is symmetrical, products repeat — 3 × 8 and 8 × 3 land on the same value, just mirrored across the diagonal. Spotting these reflections builds intuition for commutativity.

💬 Extra Challenges to Deepen Understanding

• Hide the headers and try answering by skip-counting along rows or columns.
• Predict the next square number before highlighting it.
• Find all factor pairs of a number and explain why each one works.
• Describe why mirrored cells always contain the same product.

Talking through these patterns helps learners move beyond memorization and see multiplication as a structured, predictable world of numbers.