DIVISIBILITY OF THE NATURAL NUMBERS Degree in Primary Education - - PowerPoint PPT Presentation

divisibility of the natural numbers
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DIVISIBILITY OF THE NATURAL NUMBERS Degree in Primary Education - - PowerPoint PPT Presentation

Mathematics and Associated Teaching Methods I DIVISIBILITY OF THE NATURAL NUMBERS Degree in Primary Education Teaching Multiples and divisors Definition Equivalence between both concepts To find the multiples and divisors of a


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DIVISIBILITY OF THE NATURAL NUMBERS

Degree in Primary Education Teaching

Mathematics and Associated Teaching Methods I

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Multiples and divisors

  • Definition
  • Equivalence between both concepts
  • To find the multiples and divisors of a

number

  • Properties
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Divisibility criteria

  • By 2
  • By 3
  • By 4
  • By 5
  • By 6
  • By 9
  • By 10
  • By 11
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Prime and composite numbers

  • Definition
  • Quantity of prime numbers
  • To find out if a number is prime
  • Eratosthens sieve
  • Decomposition in prime factors
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Greatest common divisor

  • Definition
  • Computation of the g.c.d.:

– By definition – Algorithm by decomposition in prime factors – Euclides’ algorithm

  • Co-prime numbers
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Least common multiple

  • Definition
  • Computation of the l.c.m.:

– By definition – Algorithm by decomposition in prime factors

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Theorem

The product of two natural numbers is the product of their g.c.d. and their l.c.m.

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