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- Find the sum of the proper factors of each number, then call it perfect, abundant or deficient.2630445560
- Use a factorization of 76 to list its proper factors and classify it.
- Find Daniel's mistake when he adds up all the factors of 32 and calls it abundant.
- Explain why a partner of 66 must be its factor sum, then decide if 66 is in an amicable pair.
- Use a factorization of 120 to list all its factors and find its factor sum.
- Explain why the square of a prime is always deficient.
- Classify numbers by using multiples of perfect and abundant numbers, or by finding the factor sum.
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Perfect, abundant, deficient and amicable numbers: the lesson ›More Chapter 1 worksheets: Factors, multiples, GCF and LCM
- 1.1Tests for three and nine
- 1.2The sieve of Eratosthenes
- 1.3Prime factorization
- 1.4Every number has exactly one prime factorization
- 1.5Greatest common factor by listing
- 1.6Least common multiple by listing
- 1.7Finding them from prime factorizations
- 1.8Perfect, abundant, deficient and amicable numbers