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Squarefree

Explore Squarefree on MathWorld


A positive integer is squarefree if it is not divisible by any perfect square greater than one.

Squarefree is a college-level concept that would be first encountered in a number theory course.

Prerequisites

Divisor: An integer that divides a given integer with no remainder. A synonym for factor.
Prime Factorization: Prime factorization is the factorization of a number into its constituent primes. Also called prime decomposition.
Square Number: A square number is an integer that is the square (i.e., second power) of another integer.

Classroom Articles on Number Theory (Up to College Level)

  • Congruence
  • Partition
  • Continued Fraction
  • Perfect Number
  • Convergent
  • Prime Counting Function
  • Diophantine Equation
  • Prime Factorization Algorithms
  • Divisor Function
  • Prime Number Theorem
  • Euclidean Algorithm
  • Quadratic Reciprocity Theorem
  • Euler-Mascheroni Constant
  • Totient Function
  • Fermat's Last Theorem
  • Transcendental Number
  • Number Theory