Partial products

The partial products algorithm is a common procedure for multiplying numbers in which one or both factors have more than one digit. A partial product is one part of the result.

Example

124
×3
12   (3 × 4) ← partial products
60   (3 × 20) ← partial products
+  300   (3 × 100) ← partial products
372   (the sum of the partial products)

See also algorithm, multiplication.