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  • https://math.libretexts.org/Courses/Santiago_Canyon_College/HiSet_Mathematica_(Lopez)/06%3A_Exponentes_raices_y_factorizacion_de_numeros_enteros/6.05%3A_El_multiplo_menos_comun
    \(\begin{array} {ccll} {90} & = & {2 \cdot 45 = 2 \cdot 3 \cdot 15 = 2 \cdot 3 \cdot 3 \cdot 5 = 2 \cdot 3^2 \cdot 5} & {} \\ {630} & = & {2 \cdot 315 = 2 \cdot 3 \cdot 105 = 2 \cdot 3 \cdot 3 \cdot 3...90=245=2315=2335=2325630=2315=23105=23335=23357 =23257
  • 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/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/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/03%3A_Exponents_Roots_and_Factorization_of_Whole_Numbers/3.05%3A_The_Least_Common_Multiple
    For the GCF, we attach the smallest exponents to the common bases, whereas for the LCM, we attach the largest exponents to the bases. \(\begin{array} {ccll} {90} & = & {2 \cdot 45 = 2 \cdot 3 \cdot 15...For the GCF, we attach the smallest exponents to the common bases, whereas for the LCM, we attach the largest exponents to the bases. 90=245=2315=2335=2325630=2315=23105=23335=23357 =23257
  • https://math.libretexts.org/Courses/College_of_the_Desert/College_of_the_Desert_MATH_011%3A_Math_Concepts_for_Elementary_School_Teachers__Number_Systems/12%3A_Number_Theory/12.01%3A_Number_Theory
    Then m and n are factors of p, and p is a multiple of m and n Some examples of prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, … Notice that 0 is not a positive number, and even...Then m and n are factors of p, and p is a multiple of m and n Some examples of prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, … Notice that 0 is not a positive number, and even if we allowed 0 to count, it has infinitely many factors because 0 times any integer equals 0. Any natural number (positive integer), which has a positive integer factor other than 1 and itself is called a composite number.

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