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  2. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    To test for divisibility by D, where D ends in 1, 3, 7, or 9, the following method can be used. [12] Find any multiple of D ending in 9. (If D ends respectively in 1, 3, 7, or 9, then multiply by 9, 3, 7, or 1.) Then add 1 and divide by 10, denoting the result as m.

  3. 3 - Wikipedia

    en.wikipedia.org/wiki/3

    Print/export Download as PDF; ... See also Divisibility rule. ... "If you only knew the magnificence of the 3, 6, and 9, ...

  4. Digit sum - Wikipedia

    en.wikipedia.org/wiki/Digit_sum

    Digit sums and digital roots can be used for quick divisibility tests: a natural number is divisible by 3 or 9 if and only if its digit sum (or digital root) is divisible by 3 or 9, respectively. For divisibility by 9, this test is called the rule of nines and is the basis of the casting out nines technique for checking calculations.

  5. Binomial coefficient - Wikipedia

    en.wikipedia.org/wiki/Binomial_coefficient

    9 Divisibility properties. ... Download as PDF; Printable version; In other projects ... Pascal's rule is the important recurrence relation

  6. Mathematical Cranks - Wikipedia

    en.wikipedia.org/wiki/Mathematical_Cranks

    [3] Other common topics for crankery, collected by Dudley, include calculations for the perimeter of an ellipse, roots of quintic equations, Fermat's little theorem, Gödel's incompleteness theorems, Goldbach's conjecture, magic squares, divisibility rules, constructible polygons, twin primes, set theory, statistics, and the Van der Pol oscillator.

  7. Trial division - Wikipedia

    en.wikipedia.org/wiki/Trial_division

    Given an integer n (n refers to "the integer to be factored"), the trial division consists of systematically testing whether n is divisible by any smaller number. Clearly, it is only worthwhile to test candidate factors less than n, and in order from two upwards because an arbitrary n is more likely to be divisible by two than by three, and so on.

  8. Division (mathematics) - Wikipedia

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

    Sometimes this remainder is added to the quotient as a fractional part, so 10 / 3 is equal to ⁠3 + 1 / 3 ⁠ or 3.33..., but in the context of integer division, where numbers have no fractional part, the remainder is kept separately (or exceptionally, discarded or rounded). [5] When the remainder is kept as a fraction, it leads to a rational ...

  9. Divisor - Wikipedia

    en.wikipedia.org/wiki/Divisor

    The divisors of 10 illustrated with Cuisenaire rods: 1, 2, 5, and 10. In mathematics, a divisor of an integer , also called a factor of , is an integer that may be multiplied by some integer to produce . [1] In this case, one also says that is a multiple of .

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