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1. • An individual integer being tested

     • A brute-force method of finding a divisor of an integer n by simply plugging in one or a set of integers and seeing if they divide n. Repeated application of trial division to obtain the complete prime factorization of a number is called direct search factorization. An individual integer being tested is called a trial divisor.
     mathworld.wolfram.com/TrialDivision.html

     Trial Division -- from Wolfram MathWorld

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   What is a trial divisor?

   • Repeated application of trial division to obtain the complete prime factorization of a number is called direct search factorization. An individual integer being tested is called a trial divisor. Flannery, S. and Flannery, D. In Code: A Mathematical Journey. London: Profile Books, pp. 36-37, 2000. Weisstein, Eric W. "Trial Division."

   Trial Division -- from Wolfram MathWorld

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   What is Trial Division?

   • (March 2014)(Learn how and when to remove this message) Trial divisionis the most laborious but easiest to understand of the integer factorizationalgorithms. 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 the square rootof n.

   Trial division - Wikipedia

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   What is factoring by Trial Division?

   • Factoring by trial division is an algorithm where a given integer n n is tested for divisibility by each prime pi p i in order until all its factors are discovered. It is the easiest algorithm to understand and the simplest to implement, but not always the most efficient.

   trial division - PlanetMath.org

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   How do you use a trial division algorithm?

   • Call the trial division algorithm with an integer n n. 1. Initialize i=1 i = 1, length of factor list to 0, (if used) all exponents to 1, prime flag to true, test cap to √n n, test remainder m m to equal n n. 2. m p i is an integer.

   trial division - PlanetMath.org

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   What are the divisor and the dividend?

   • Let’s split up these elements of division and break down exactly what they are. They are the two main parts of any division problem – Simply put, the dividend is the number getting divided, and the divisor is what we are dividing that number by.

   What Are the Divisor and the Dividend? - DoodleLearning

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   Why is 4 a divisor?

   • As we discussed earlier, the 12 is the dividend, so that makes the 4 the divisor. One way to look at division is as the reverse of multiplication. In multiplication, you are grouping a bunch of sets of numbers together, and in division, you are breaking them back up.

   What Are the Divisor and the Dividend? - DoodleLearning

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3. en.wikipedia.org › wiki › Trial_divisionTrial division - Wikipedia

   en.wikipedia.org › wiki › Trial_division

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   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 the square root of n.

4. mathworld.wolfram.com › TrialDivisionTrial Division -- from Wolfram MathWorld

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   5 days ago · Repeated application of trial division to obtain the complete prime factorization of a number is called direct search factorization. An individual integer being tested is called a trial divisor.

5. planetmath.org › TrialDivisiontrial division - PlanetMath.org

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   Feb 9, 2018 · trial division. Factoring by trial division is an algorithm where a given integer n n is tested for divisibility by each prime pi p i in order until all its factors are discovered. It is the easiest algorithm to understand and the simplest to implement, but not always the most efficient.

6. mathworld.wolfram.com › TrialDivisorTrial Divisor -- from Wolfram MathWorld

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   5 days ago · Trial Divisor. An integer which is tested to see if it divides a given number.

7. www.bbc.co.uk › bitesize › guidesFactor theorem - Dividing and factorising polynomial ... - BBC

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   So, if \((x - a)\) is a factor, \(f(a) = 0\). To find the answer, you need to try dividing the polynomial by simple factors to see which one gives a remainder of zero. Next page

8. www.math.uh.edu › ~minru › web1.2 Divisors and Factorization - UH

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   The most basic method for computing divisors is exhaustive trial division. If we want to find the positive divisors for an integer n , we just take the integers 1, 2, 3, . . . , n , divide n by each, and those that divide evenly make up the set of positive divisors for n .

9. doodlelearning.com › division › divisor-dividendWhat Are the Divisor and the Dividend? - DoodleLearning

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   Aug 24, 2023 · Key takeaways. They are the two main parts of any division problem – Simply put, the dividend is the number getting divided, and the divisor is what we are dividing that number by. Together, divisor and dividend will get you your quotient – The quotient is the answer to your division problem, the exact number of times you can divide one ...