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2. Divisibility rule - Wikipedia

   en.wikipedia.org/wiki/Divisibility_rule

   To test divisibility by any number expressed as the product of prime factors , we can separately test for divisibility by each prime to its appropriate power. For example, testing divisibility by 24 (24 = 8 × 3 = 2 3 × 3) is equivalent to testing divisibility by 8 (2 3 ) and 3 simultaneously, thus we need only show divisibility by 8 and by 3 ...

3. Zsigmondy's theorem - Wikipedia

   en.wikipedia.org/wiki/Zsigmondy's_theorem

   In number theory, Zsigmondy's theorem, named after Karl Zsigmondy, states that if > > are coprime integers, then for any integer , there is a prime number p (called a primitive prime divisor) that divides and does not divide for any positive integer <, with the following exceptions:

4. Parity (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Parity_(mathematics)

   The following laws can be verified using the properties of divisibility. They are a special case of rules in modular arithmetic, and are commonly used to check if an equality is likely to be correct by testing the parity of each side. As with ordinary arithmetic, multiplication and addition are commutative and associative in modulo 2 arithmetic ...

5. DOT announces new protections for air travelers with disabilities

   www.aol.com/news/dot-announces-protections-air...

   The US Department of Transportation has issued a new rule requiring airlines to follow more rigorous standards when it comes to airline passengers with disabilities.

6. Factbox-Countries' guidance on alcohol consumption

   www.aol.com/news/factbox-countries-guidance...

   (Reuters) - The U.S. Surgeon General called on Friday for alcoholic drinks to carry a label warning consumers about their cancer risks. Here are some guidelines and recommendations by governments ...

7. Number theory - Wikipedia

   en.wikipedia.org/wiki/Number_theory

   Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."