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  2. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    In fact, this rule for prime divisors besides 2 and 5 is really a rule for divisibility by any integer relatively prime to 10 (including 33 and 39; see the table below). This is why the last divisibility condition in the tables above and below for any number relatively prime to 10 has the same kind of form (add or subtract some multiple of the ...

  3. Divisor - Wikipedia

    en.wikipedia.org/wiki/Divisor

    Prime numbers have exactly 2 divisors, and highly composite numbers are in bold. 7 is a divisor of 42 because =, so we can say It can also be said that 42 is divisible by 7, 42 is a multiple of 7, 7 divides 42, or 7 is a factor of 42. The non-trivial divisors of 6 are 2, −2, 3, −3.

  4. Division (mathematics) - Wikipedia

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

    This is denoted as 20 / 5 = 4, or ⁠ 20 / 5 ⁠ = 4. [2] In the example, 20 is the dividend, 5 is the divisor, and 4 is the quotient. ... Divisibility rules can ...

  5. Coprime integers - Wikipedia

    en.wikipedia.org/wiki/Coprime_integers

    Furthermore, if b 1, b 2 are both coprime with a, then so is their product b 1 b 2 (i.e., modulo a it is a product of invertible elements, and therefore invertible); [6] this also follows from the first point by Euclid's lemma, which states that if a prime number p divides a product bc, then p divides at least one of the factors b, c.

  6. Divisibility (ring theory) - Wikipedia

    en.wikipedia.org/wiki/Divisibility_(ring_theory)

    Divisibility is a useful concept for the analysis of the structure of commutative rings because of its relationship with the ideal structure of such rings. Definition

  7. Talk:Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Talk:Divisibility_rule

    2: sum of all the digits is a multiple of 2. (Alternating-digits rule can also be applied.) 7: sum of all the digits is a multiple of 7. E: sum of all the digits is a multiple of E. 6: a number that passes the divisibility tests for both 3 and 2. A: a number that passes the divisibility tests for both 5 and 2.

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  9. Parity (mathematics) - Wikipedia

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

    Cuisenaire rods: 5 (yellow) cannot be evenly divided in 2 (red) by any 2 rods of the same color/length, while 6 (dark green) can be evenly divided in 2 by 3 (lime green). In mathematics, parity is the property of an integer of whether it is even or odd. An integer is even if it is divisible by 2, and odd if it is not. [1]