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2. Order theory - Wikipedia

   en.wikipedia.org/wiki/Order_theory

   An example is given by the above divisibility order |, where 1 is the least element since it divides all other numbers. In contrast, 0 is the number that is divided by all other numbers. Hence it is the greatest element of the order. Other frequent terms for the least and greatest elements is bottom and top or zero and unit. Least and greatest ...

3. Table of prime factors - Wikipedia

   en.wikipedia.org/wiki/Table_of_prime_factors

   An economical number has been defined as a frugal number, but also as a number that is either frugal or equidigital. gcd( m , n ) ( greatest common divisor of m and n ) is the product of all prime factors which are both in m and n (with the smallest multiplicity for m and n ).

4. Maximal and minimal elements - Wikipedia

   en.wikipedia.org/wiki/Maximal_and_minimal_elements

   In abstract algebra, the concept of a maximal common divisor is needed to generalize greatest common divisors to number systems in which the common divisors of a set of elements may have more than one maximal element. In computational geometry, the maxima of a point set are maximal with respect to the partial order of coordinatewise domination.

5. List of order structures in mathematics - Wikipedia

   en.wikipedia.org/wiki/List_of_order_structures...

   Lattices, partial orders in which each pair of elements has a greatest lower bound and a least upper bound. Many different types of lattice have been studied; see map of lattices for a list. Partially ordered sets (or posets ), orderings in which some pairs are comparable and others might not be

6. Well-ordering principle - Wikipedia

   en.wikipedia.org/wiki/Well-ordering_principle

   Then, by the well-ordering principle, there is a least element ; cannot be prime since a prime number itself is considered a length-one product of primes. By the definition of non-prime numbers, n {\displaystyle n} has factors a , b {\displaystyle a,b} , where a , b {\displaystyle a,b} are integers greater than one and less than n ...

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8. Greatest element and least element - Wikipedia

   en.wikipedia.org/wiki/Greatest_element_and_least...

   In the rational numbers, the set of numbers with their square less than 2 has upper bounds but no greatest element and no least upper bound. In , the set of numbers less than 1 has a least upper bound, viz. 1, but no greatest element.

9. Elementary arithmetic - Wikipedia

   en.wikipedia.org/wiki/Elementary_arithmetic

   Addition is a mathematical operation that combines two or more numbers (called addends or summands) to produce a combined number (called the sum). The addition of two numbers is expressed with the plus sign (+). [6] It is performed according to these rules: The order in which the addends are added does not affect the sum.