Prime Factorization and Prime Numbers Quiz

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Questions and Answers

Hangisi doğrudur?

  • Her negatif tam sayı, iki doğal sayının çarpımı olarak yazılabilir.
  • Her çift tam sayı, iki doğal sayının çarpımı olarak yazılabilir.
  • Her tek tam sayı, iki doğal sayının çarpımı olarak yazılabilir.
  • Her pozitif tam sayı, iki doğal sayının çarpımı olarak yazılabilir. (correct)

Hangisi asal sayıdır?

  • 11 (correct)
  • 8
  • 18
  • 27

Hangi algoritma, bir pozitif tam sayıyı asal çarpanlarına ayırmak için kullanılır?

  • Toplama algoritması
  • Çarpanlama algoritması
  • Bölme algoritması (correct)
  • Çarpma algoritması

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Study Notes

  • Every positive integer can be written as the product of two natural numbers.
  • Each of these natural numbers is called a factor of the integer.
  • The factors of a number are also its divisors.
  • The prime factorization algorithm is used to decompose a positive integer into its prime factors.
  • The algorithm involves dividing the integer by the smallest prime number and continuing until the result is 1.
  • Asal sayılar are natural numbers greater than 1 that have no divisors other than 1 and themselves.
  • The set of asal sayılar is denoted by A = {2, 3, 5, 7, 11, 13...}.
  • Asal sayılar kümesi contains no even natural numbers other than 2.
  • The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
  • The prime factors of 72 are 2 and 3, and its prime factorization is 2^3 x 3^2.

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