Box Method Multiplication Calculator (Lattice)

Multiply two numbers the Indian box method way: split each number by place value, fill a grid with partial products, then add them up. Shows the full grid and steps.

Input

Multiply two numbers the Indian way: split each by place value, fill a grid with partial products, and add them up.

First number

Second number

Enter whole numbers with 2 to 3 digits each (10 to 999).

Result

Product of 23 and 14

322

Grid of partial products

Parts	10	4
20	200	80
3	30	12

Add every number in the grid: 12 + 30 + 80 + 200 = 322

Step by step

Split by place value

Split 23 into 20 + 3, and 14 into 10 + 4.

Build the grid

Put the first number parts down the side and the second across the top to make a 2 by 2 grid with 4 cells.

Fill each cell

In each cell, write the product of its row part and its column part.

Add the partial products

Add up all the partial products: 12 + 30 + 80 + 200 = 322.

Partial product breakdown

Row part	Column part	Partial product
20	10	200
20	4	80
3	10	30
3	4	12
Total (product)		322

Check: 23 times 14 = 322, which matches ordinary multiplication.

How it works

Split each number into its place-value parts. For example 23 becomes 20 and 3, and 14 becomes 10 and 4.
Place one number parts down the side and the other across the top to form a grid (rectangle), then write each cell as the product of its row and column part.
Add all the partial products to get the final answer. Example: 23 times 14 equals 200 plus 80 plus 30 plus 12 equals 322.
Because you multiply parts separately, carries are handled at the end, which makes mental and written multiplication clearer.
This tool works with whole numbers from 2 to 3 digits each.

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