Multiple Mul"ti·ple noun (Math.) A quantity containing another quantity a number of times without a remainder. » A
common multiple of two or more numbers contains each of them a number of times exactly; thus, 24 is a
common multiple of 3 and 4. The
least common multiple is the least number that will do this; thus, 12 is the
least common multiple of 3 and 4.
Multiplication Mul`ti·pli·ca"tion noun [ Latin
multiplicatio : confer French
multiplication . See
Multiply .]
1. The act or process of multiplying, or of increasing in number; the state of being multiplied; as, the multiplication of the human species by natural generation. The increase and multiplication of the world.
Thackeray. 2. (Math.) The process of repeating, or adding to itself, any given number or quantity a certain number of times; commonly, the process of ascertaining by a briefer computation the result of such repeated additions; also, the rule by which the operation is performed; -- the reverse of division . » The word
multiplication is sometimes used in mathematics, particularly in multiple algebra, to denote any distributive operation expressed by one symbol upon any quantity or any thing expressed by another symbol. Corresponding extensions of meaning are given to the words
multiply ,
multiplier ,
multiplicand , and
product . Thus, since φ(
x + y ) = φ
x + φ
y (see under
Distributive ), where φ(
x + y ), φ
x , and φ
y indicate the results of any distributive operation represented by the symbol φ upon
x + y ,
x , and
y , severally, then because of many very useful analogies φ(
x + y ) is called the
product of φ and
x + y , and the operation indicated by φ is called
multiplication . Confer
Facient ,
noun , 2.
3. (Botany) An increase above the normal number of parts, especially of petals; augmentation. 4. The art of increasing gold or silver by magic, -- attributed formerly to the alchemists. [ Obsolete]
Chaucer. Multiplication table ,
a table giving the product of a set of numbers multiplied in some regular way; commonly, a table giving the products of the first ten or twelve numbers multiplied successively by 1, 2, 3, etc., up to 10 or 12.