10 Questions
What is the factorization of the integer 15?
$3 imes 5$
What is the factorization of the polynomial $x^2 - 4$?
$(x - 2)(x + 2)$
What does factorization consist of?
Writing a number as a product of factors
Is factorization considered meaningful within number systems possessing division?
No, except for rational numbers or functions
Who first considered factorization?
Ancient Greek mathematicians
What is a meaningful factorization for a rational number or a rational function?
Writing it in lowest terms and separately factoring its numerator and denominator
What can any non-zero $x$ be trivially written as, within number systems possessing division?
$(xy) imes (1/y)$
What does the fundamental theorem of arithmetic assert?
Every integer can be factored into prime numbers
Why is factorization not usually considered meaningful within number systems possessing division?
Because any $x$ can be trivially written as $(xy) imes (1/y)$ whenever $y$ is not zero
What is a factorization of a mathematical object?
Writing it as a product of several factors
Test your knowledge of factorization with this quiz! Explore the concept of writing numbers and mathematical objects as a product of factors. Challenge yourself with various examples and strengthen your understanding of factorization.
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