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In mathematics, a product is the result of multiplication, or an expression that identifies objects (numbers or variables) to be multiplied, called factors.For example, 21 is the product of 3 and 7 (the result of multiplication), and (+) is the product of and (+) (indicating that the two factors should be multiplied together).
A factorial x! is the product of all numbers from 1 to x. The first: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600 (sequence A000142 in the OEIS). 0! = 1 is sometimes included. A k-smooth number (for a natural number k) has its prime factors ≤ k (so it is also j-smooth for any j > k).
Demonstration, with Cuisenaire rods, of the divisors of the composite number 10 Composite numbers can be arranged into rectangles but prime numbers cannot. A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly it is a positive integer that has at least one divisor other than 1 and ...
The product of non-negative integers can be defined with set theory using cardinal numbers or the Peano axioms. See below how to extend this to multiplying arbitrary integers, and then arbitrary rational numbers. The product of real numbers is defined in terms of products of rational numbers; see construction of the real numbers. [32]
240 is a pronic number, since it can be expressed as the product of two consecutive integers, 15 and 16. [1] It is a semiperfect number, [2] equal to the concatenation of two of its proper divisors (24 and 40).
120 (one hundred [and] twenty) is the natural number following 119 and preceding 121. In the Germanic languages , the number 120 was also formerly known as "one hundred". This "hundred" of six score is now obsolete but is described as the long hundred or great hundred in historical contexts.
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m × 10 n. Or more compactly as: 10 n. This is generally used to denote powers of 10. Where n is positive, this indicates the number of zeros after the number, and where the n is negative, this indicates the number of decimal places before the number. As an example: 10 5 = 100,000 [1] 10 −5 = 0.00001 [2]