Number Theory

Auston B Cron, Ronan Downes, Mar 16, 2020

Basic concepts of Number Theory will be address in this book.

Table of Contents

  1. Arithmetic Concepts
    1. Fundamental Theorem of Arithmetic
    2. Check if Number is Prime
    3. Divisibility Tests
    4. Number Theory Sets
  2. Integers
    1. GCF and LCM
    2. Integer Base/Exponents

1.

Arithmetic Concepts

  • 1. Fundamental Theorem of Arithmetic
  • 2. Check if Number is Prime
  • 3. Divisibility Tests
  • 4. Number Theory Sets

1.1.

Fundamental Theorem of Arithmetic

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is prime itself or is the product of prime numbers, and that, although the order of the primes in the second case is arbitrary, the primes themselves are not.
Fundamental Theorem of Arithmetic
[url]http://en.wikipedia.org/wiki/Fundamental_theorem_of_arithmetic[/url]
– Auston B Cron

1.2.

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1.3.

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1.4.

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2.

Integers

  • 1. GCF and LCM
  • 2. Integer Base/Exponents

2.1.

GCF and LCM

Finding the GCF and LCM of two or more numbers allows a user of mathematics to more quickly compute solutions. This sheet gives the prime factorization, so a student can begin to learn how to find common factors or common multiples.
[url=https://www.khanacademy.org/math/pre-algebra/factors-multiples]Factors and Multiples[/url] from Khan Academy provides additional information.
– Auston B Cron

2.2.

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Information