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  2. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    The basic rule for divisibility by 4 is that if the number formed by the last two digits in a number is divisible by 4, the original number is divisible by 4; [2] [3] this is because 100 is divisible by 4 and so adding hundreds, thousands, etc. is simply adding another number that is divisible by 4. If any number ends in a two digit number that ...

  3. 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 ...

  4. Distributive property - Wikipedia

    en.wikipedia.org/wiki/Distributive_property

    Rule of replacement [ edit ] In standard truth-functional propositional logic, distribution [ 3 ] [ 4 ] in logical proofs uses two valid rules of replacement to expand individual occurrences of certain logical connectives , within some formula , into separate applications of those connectives across subformulas of the given formula.

  5. Divisor - Wikipedia

    en.wikipedia.org/wiki/Divisor

    For example, there are six divisors of 4; they are 1, 2, 4, −1, −2, and −4, but only the positive ones (1, 2, and 4) would usually be mentioned. 1 and −1 divide (are divisors of) every integer. Every integer (and its negation) is a divisor of itself. Integers divisible by 2 are called even, and integers not divisible by 2 are called odd.

  6. Euclid's lemma - Wikipedia

    en.wikipedia.org/wiki/Euclid's_lemma

    The two first subsections, are proofs of the generalized version of Euclid's lemma, namely that: if n divides ab and is coprime with a then it divides b. The original Euclid's lemma follows immediately, since, if n is prime then it divides a or does not divide a in which case it is coprime with a so per the generalized version it divides b.

  7. Mortgage and refinance rates for Dec. 18, 2024: Average ... - AOL

    www.aol.com/finance/mortgage-and-refinance-rates...

    At the conclusion of its seventh and penultimate rate-setting policy meeting of 2024 on November 7, 2024, the Federal Reserve announced it was lowering the federal funds target interest rate by 25 ...

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