Factorization in Mathematics

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Questions and Answers

What is factorization in mathematics?

  • Writing a number as a product of several factors (correct)
  • Identifying the smallest factor of a given number
  • Determining the remainder when dividing a number by another
  • Finding the highest common factor of a set of numbers

What did ancient Greek mathematicians prove about positive integers?

  • Every positive integer is a prime number
  • Every positive integer can be factored into a product of prime numbers (correct)
  • Every positive integer is a composite number
  • Every positive integer can be divided by 2

Why is factorization not considered meaningful in number systems possessing division, such as real or complex numbers?

  • Because any number can be trivially written as the product of itself and 1 (correct)
  • Because it leads to complex mathematical equations
  • Because it results in irrational numbers
  • Because it contradicts the fundamental theorem of arithmetic

What is the unique characteristic of the factorization of positive integers into prime numbers?

<p>It is unique up to the order of the factors (C)</p> Signup and view all the answers

How is factorization used in the RSA cryptosystem?

<p>To implement public-key cryptography (B)</p> Signup and view all the answers

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