Maths & numbers

Multiplication with partial products calculator

Show the row-by-row partial products behind whole-number multiplication.

Your numbers

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Your result

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Enter your inputs and select Calculate.

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Behind the numbers

How this calculation works

Zeros in the multiplier contribute zero rows. They still determine the decimal positions of the other rows.

THE FORMULAMultiply by each place-value term, then add the partial products

A worked example

23 × 14 is 23 × 10 plus 23 × 4, which equals 322.

Good to know

Use nonnegative whole numbers.

Read the result

Show the row-by-row partial products behind whole-number multiplication.

The primary result is labeled “Product”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

Use nonnegative whole numbers.

For a related exercise, try the fraction calculator.

A few questions, answered

How can I check the default inputs by hand?

23 × 14 is 23 × 10 plus 23 × 4, which equals 322.

Which rule does this calculator apply?

Multiply by each place-value term, then add the partial products

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