Number Sense

VII. Class 7

A. Prime, Composite, Abundant, Deficient, and Perfect Numbers

Participants should discuss topics:

• Identifying special classes of prime and composite numbers (Mersenne primes, abundant, deficient, perfect, and relatively prime numbers)
• Using the Fundamental Theorem of Arithmetic as it applies to prime and composite numbers
• Using prime factorization of numbers to identify abundant, deficient, and perfect numbers

Participants explore some of the following Investigations focused on prime, composite, abundant, deficient, and perfect numbers

• Prime and Composite Numbers

• Common Digit

• Consecutive Prime

• Unknown Ages

• Prime Factor Sums

• Composite Numbers

• Abundant, Deficient, and Perfect Numbers

• Abundant, Deficient, and Perfect

• Abundant Numbers I

• Abundant Numbers II

B. Participants add write-ups to their online portfolios

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Additional Resources for Week 7

• Dictionary Entries related to order relationships, roots, and induction.

  • Abundant Number

  • Composite Number

  • Deficient Number

  • Factor Tree

  • Perfect Number

  • Prime Factorization

  • Prime Number

  • Relatively Prime Numbers

   

• External links

  Sieve of Eatosthenes

  • Sieve of Eratosthenes

  • An interactive applet for Sieve of Eratosthenes

  Infinitude of Prime Numbers

  • Infinitude of Prime Numbers

  • Euclid’s Theorems- Infinitude of Prime Numbers

Return to the Number Concept Syllabus