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Number Theory

Definition

Number theory is the branch of mathematics that deals with properties and relationships of numbers, particularly integers. It focuses on studying patterns, divisibility, prime numbers, and other number-related concepts.

Analogy

Imagine number theory as solving puzzles with numbers. You explore patterns in numbers just like solving puzzles requires finding patterns in pieces to complete the picture.

Related terms

Prime Numbers: Prime numbers are positive integers greater than 1 that have no divisors other than 1 and themselves.

Modular Arithmetic: Modular arithmetic involves working with remainders when dividing by a fixed integer called the modulus.

Diophantine Equations: Diophantine equations are polynomial equations where only integer solutions are sought.

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© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.