Long Multiplication Calculator

Multiply two numbers and see the partial products that long multiplication adds up. Enter both numbers.

Product
The two multiplied.

Usage Tip

The number of digits in a product is roughly the sum of the digit counts of the two factors.

THE MATH
Multiply by each digit of the second number, shifted by place
Add the partial products
Long multiplication multiplies one number by each digit of the other, shifting by place value, then sums the partial products.
It is how multi-digit multiplication is done by hand.
Inputs are treated as whole numbers.
Each non-zero digit of the second number produces one partial product.
The partial products are listed in the explanation.
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