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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. GCD matrix - Wikipedia

    en.wikipedia.org/wiki/GCD_matrix

    The study was initiated by H.J.S. Smith (1875). A new inspiration was begun from the paper of Bourque & Ligh (1992). This led to intensive investigations on singularity and divisibility of GCD type matrices. A brief review of papers on GCD type matrices before that time is presented in Haukkanen, Wang & Sillanpää (1997).

  4. Sieve of Eratosthenes - Wikipedia

    en.wikipedia.org/wiki/Sieve_of_Eratosthenes

    This is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime. [2] Once all the multiples of each discovered prime have been marked as composites, the remaining unmarked numbers are primes.

  5. Trial division - Wikipedia

    en.wikipedia.org/wiki/Trial_division

    Trial division is the most laborious but easiest to understand of the integer factorization algorithms. The essential idea behind trial division tests to see if an integer n, the integer to be factored, can be divided by each number in turn that is less than or equal to the square root of n.

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    Betts also may not have to deal with such a situation again next season, as the Dodgers plan to move him to the infield to play second base or shortstop.He could again run into foul territory ...

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