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2. Divisibility rule - Wikipedia

   en.wikipedia.org/wiki/Divisibility_rule

   To test the divisibility of a number by a power of 2 or a power of 5 (2 n or 5 n, in which n is a positive integer), one only need to look at the last n digits of that number. To test divisibility by any number expressed as the product of prime factors p 1 n p 2 m p 3 q {\displaystyle p_{1}^{n}p_{2}^{m}p_{3}^{q}} , we can separately test for ...

3. 1001 (number) - Wikipedia

   en.wikipedia.org/wiki/1001_(number)

   Two properties of 1001 are the basis of a divisibility test for 7, 11 and 13. The method is along the same lines as the divisibility rule for 11 using the property 10 ≡ -1 (mod 11). The two properties of 1001 are 1001 = 7 × 11 × 13 in prime factors 10 3 ≡ -1 (mod 1001) The method simultaneously tests for divisibility by any of the factors ...

4. Harshad number - Wikipedia

   en.wikipedia.org/wiki/Harshad_number

   The number 18 is a harshad number in base 10, because the sum of the digits 1 and 8 is 9, and 18 is divisible by 9.; The Hardy–Ramanujan number (1729) is a harshad number in base 10, since it is divisible by 19, the sum of its digits (1729 = 19 × 91).

5. Division lattice - Wikipedia

   en.wikipedia.org/wiki/Division_lattice

   The non-negative integers partially ordered by divisibility. The division lattice is an infinite complete bounded distributive lattice whose elements are the natural numbers ordered by divisibility. Its least element is 1, which divides all natural numbers, while its greatest element is 0, which is divisible by all natural numbers.

6. Valuation (algebra) - Wikipedia

   en.wikipedia.org/wiki/Valuation_(algebra)

   The real numbers (extended by +∞) with the operations of minimum and addition form a semiring, called the min tropical semiring, [e] and a valuation v is almost a semiring homomorphism from K to the tropical semiring, except that the homomorphism property can fail when two elements with the same valuation are added together.

7. ‘Yellowstone’ fans all have the same question after the ...

   www.aol.com/yellowstone-fans-same-finale...

   The "Yellowstone" Season 5 finale just left viewers wanting more and they may just get their wish.On Dec. 15, the popular series wrapped up its fifth season with an explosive finale that killed ...