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  • https://math.libretexts.org/Bookshelves/PreAlgebra/Prealgebra_1e_(OpenStax)/02%3A_Introduction_to_the_Language_of_Algebra/2.08%3A_Find_Multiples_and_Factors_(Part_2)
    A prime number is a counting number greater than 1 whose only factors are 1 and itself. A composite number is a counting number that is not prime. To determine if a number is prime, divide it by each ...A prime number is a counting number greater than 1 whose only factors are 1 and itself. A composite number is a counting number that is not prime. To determine if a number is prime, divide it by each of the primes, in order, to see if it is a factor of the number. Start with 2 and stop when the quotient is smaller than the divisor or when a prime factor is found. If the number has a prime factor, then it is a composite number. If it has no prime factors, then the number is prime.
  • https://math.libretexts.org/Courses/College_of_the_Canyons/Math_130%3A_Math_for_Elementary_School_Teachers_(Lagusker)/05%3A_Number_Theory/5.02%3A_Number_Theory
    Let \(mn = p\), then \(m\) and \(n\) are factors of \(p\) and \(p\) is a multiple of \(m\) and \(n\) Factors are always smaller than the given number, whereas multiples are always bigger than the give...Let \(mn = p\), then \(m\) and \(n\) are factors of \(p\) and \(p\) is a multiple of \(m\) and \(n\) Factors are always smaller than the given number, whereas multiples are always bigger than the given number. List all the factors and the first four multiples of 30. Cross out 0 and 1 (neither prime nor composite) and circle 2 (the first prime) Circle 3 (prime) and cross out all multiples of 3. Categorize the following as Prime, Composite or Neither: 0, 1, 2, and any negative number
  • https://math.libretexts.org/Courses/Grayson_College/Prealgebra/Book%3A_Prealgebra_(OpenStax)/02%3A_Introduction_to_the_Language_of_Algebra/2.08%3A_Find_Multiples_and_Factors_(Part_2)
    A prime number is a counting number greater than 1 whose only factors are 1 and itself. A composite number is a counting number that is not prime. To determine if a number is prime, divide it by each ...A prime number is a counting number greater than 1 whose only factors are 1 and itself. A composite number is a counting number that is not prime. To determine if a number is prime, divide it by each of the primes, in order, to see if it is a factor of the number. Start with 2 and stop when the quotient is smaller than the divisor or when a prime factor is found. If the number has a prime factor, then it is a composite number. If it has no prime factors, then the number is prime.
  • https://math.libretexts.org/Courses/Las_Positas_College/Foundational_Mathematics/04%3A_Fractions/4.07%3A_Find_Multiples_and_Factors_(Part_2)
    A prime number is a counting number greater than 1 whose only factors are 1 and itself. A composite number is a counting number that is not prime. To determine if a number is prime, divide it by each ...A prime number is a counting number greater than 1 whose only factors are 1 and itself. A composite number is a counting number that is not prime. To determine if a number is prime, divide it by each of the primes, in order, to see if it is a factor of the number. Start with 2 and stop when the quotient is smaller than the divisor or when a prime factor is found. If the number has a prime factor, then it is a composite number. If it has no prime factors, then the number is prime.
  • https://math.libretexts.org/Courses/Coastline_College/Math_C097%3A_Support_for_Precalculus_Corequisite%3A_MATH_C170/1.02%3A_Algebra_Support/1.2.01%3A_Real_Numbers_Linear_Inequalities_and_Interval_Notation
    The vertical line | inside the braces reads, “such that” and the symbol \(\in\) indicates set membership and reads, “is an element of.” The notation above in its entirety reads, “the set of all number...The vertical line | inside the braces reads, “such that” and the symbol \(\in\) indicates set membership and reads, “is an element of.” The notation above in its entirety reads, “the set of all numbers \(\frac{a}{b}\) such that a and b are elements of the set of integers and b is not equal to zero.” Decimals that terminate or repeat are rational.
  • https://math.libretexts.org/Courses/Coastline_College/Math_Concurrent_Support_(Tran)/10%3A_Introduction_to_the_Language_of_Algebra/10.08%3A_Find_Multiples_and_Factors_(Part_2)
    A prime number is a counting number greater than 1 whose only factors are 1 and itself. A composite number is a counting number that is not prime. To determine if a number is prime, divide it by each ...A prime number is a counting number greater than 1 whose only factors are 1 and itself. A composite number is a counting number that is not prime. To determine if a number is prime, divide it by each of the primes, in order, to see if it is a factor of the number. Start with 2 and stop when the quotient is smaller than the divisor or when a prime factor is found. If the number has a prime factor, then it is a composite number. If it has no prime factors, then the number is prime.
  • https://math.libretexts.org/Bookshelves/Mathematical_Logic_and_Proof/Book%3A_Mathematical_Reasoning__Writing_and_Proof_(Sundstrom)/08%3A_Topics_in_Number_Theory/8.02%3A_Prime_Numbers_and_Prime_Factorizations
    We showed how the Euclidean Algorithm can be used to find the greatest common divisor of two integers, \(a\) and \(b\), and also showed how to use the results of the Euclidean Algorithm to write the g...We showed how the Euclidean Algorithm can be used to find the greatest common divisor of two integers, \(a\) and \(b\), and also showed how to use the results of the Euclidean Algorithm to write the greatest common divisor of \(a\) and \(b\) as a linear combination of \(a\) and \(b\).
  • https://math.libretexts.org/Courses/SUNY_Schenectady_County_Community_College/Discrete_Structures/08%3A_Topics_in_Number_Theory/8.02%3A_Prime_Numbers_and_Prime_Factorizations
    We showed how the Euclidean Algorithm can be used to find the greatest common divisor of two integers, \(a\) and \(b\), and also showed how to use the results of the Euclidean Algorithm to write the g...We showed how the Euclidean Algorithm can be used to find the greatest common divisor of two integers, \(a\) and \(b\), and also showed how to use the results of the Euclidean Algorithm to write the greatest common divisor of \(a\) and \(b\) as a linear combination of \(a\) and \(b\).
  • https://math.libretexts.org/Courses/Las_Positas_College/Math_27%3A_Number_Systems_for_Educators/06%3A_Number_Theory/6.02%3A_Number_Theory
    A factor tree is demonstrated below, in which you think of two factors of the given number and write them below the number on branches. The circled numbers multiplied together create the prime factori...A factor tree is demonstrated below, in which you think of two factors of the given number and write them below the number on branches. The circled numbers multiplied together create the prime factorization of the given number. Recall that order doesn't matter when we multiply (multiplication is commutative; 3*2 = 2*3), so this theorem says if we order the prime factors from smallest to largest, everyone will get the same answer of prime factors for a given number.
  • https://math.libretexts.org/Courses/Highline_College/MATHP_141%3A_Corequisite_Precalculus/02%3A_Algebra_Support/2.01%3A_Real_Numbers_Linear_Inequalities_and_Interval_Notation
    The vertical line | inside the braces reads, “such that” and the symbol \(\in\) indicates set membership and reads, “is an element of.” The notation above in its entirety reads, “the set of all number...The vertical line | inside the braces reads, “such that” and the symbol \(\in\) indicates set membership and reads, “is an element of.” The notation above in its entirety reads, “the set of all numbers \(\frac{a}{b}\) such that a and b are elements of the set of integers and b is not equal to zero.” Decimals that terminate or repeat are rational.
  • https://math.libretexts.org/Courses/Nova_Scotia_Community_College/MATH_1043/01%3A_Numerical_Literacy/1.02%3A_Find_Multiples_and_Factors_(Part_2)
    A prime number is a counting number greater than 1 whose only factors are 1 and itself. A composite number is a counting number that is not prime. To determine if a number is prime, divide it by each ...A prime number is a counting number greater than 1 whose only factors are 1 and itself. A composite number is a counting number that is not prime. To determine if a number is prime, divide it by each of the primes, in order, to see if it is a factor of the number. Start with 2 and stop when the quotient is smaller than the divisor or when a prime factor is found. If the number has a prime factor, then it is a composite number. If it has no prime factors, then the number is prime.

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