In simple algebra, multiplication is the process of calculating the result when a number
is taken
times. The result of a multiplication is called the product
of
and ,
and each of the numbers
and
is called a factor of the product . Multiplication is denoted , , , or simply . The symbol is known as the multiplication
sign. Normal multiplication is associative, commutative, and distributive.

More generally, multiplication can also be defined for other mathematical objects such as groups, matrices, sets, and tensors.

Karatsuba and Ofman (1962) discovered that multiplication of two digit numbers can be done with a bit
complexity of less than using an algorithm now known as Karatsuba
multiplication.

Eddy Grant's pop song "Electric Avenue" (Electric Avenue, 2001) includes the commentary: "Who is to blame in one country;
Never can get to the one; Dealin' in multiplication; And they still can't feed everyone,
oh no."

Cundy, H. M. "What Is ?" Math. Gaz.43, 101, 1959.Karatsuba,
A. and Ofman, Yu. "Multiplication of Many-Digital Numbers by Automatic Computers."
Doklady Akad. Nauk SSSR145, 293-294, 1962. Translation in Physics-Doklady7,
595-596, 1963.