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Which algorithm is the most efficient for determining whether a number is prime, according to the methods described?
  • a)
    Testing all numbers up to the dividend
  • b)
    Testing divisibility only up to half of the dividend
  • c)
    Testing divisibility only up to the square root of the dividend
  • d)
    Dividing the number by all prime numbers up to 100
Correct answer is option 'C'. Can you explain this answer?
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Which algorithm is the most efficient for determining whether a number...
The most efficient method for determining if a number is prime is to test divisibility only up to the square root of the dividend. This significantly reduces the number of calculations required compared to checking all numbers up to the dividend or even half of it. The reasoning behind this is that if a number has a divisor larger than its square root, then the corresponding quotient must be smaller than the square root, making it unnecessary to check beyond this point. This method is particularly advantageous for larger numbers, enhancing performance and reducing computation time.
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Which algorithm is the most efficient for determining whether a number is prime, according to the methods described?a) Testing all numbers up to the dividendb) Testing divisibility only up to half of the dividendc) Testing divisibility only up to the square root of the dividendd) Dividing the number by all prime numbers up to 100Correct answer is option 'C'. Can you explain this answer? for Humanities/Arts 2025 is part of Humanities/Arts preparation. The Question and answers have been prepared according to the Humanities/Arts exam syllabus. Information about Which algorithm is the most efficient for determining whether a number is prime, according to the methods described?a) Testing all numbers up to the dividendb) Testing divisibility only up to half of the dividendc) Testing divisibility only up to the square root of the dividendd) Dividing the number by all prime numbers up to 100Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Humanities/Arts 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which algorithm is the most efficient for determining whether a number is prime, according to the methods described?a) Testing all numbers up to the dividendb) Testing divisibility only up to half of the dividendc) Testing divisibility only up to the square root of the dividendd) Dividing the number by all prime numbers up to 100Correct answer is option 'C'. Can you explain this answer?.
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