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4. Let a = 24, b = 105 and c = 594. (a) Find the prime...

4. Let a = 24, b = 105 and c = 594.

(a) Find the prime factorization of a, b and c.

(b) Use (a) to calculate d(a), d(b) and d(c), where, for any integer n, d(n) is the number of positive divisors of n;

(c) Use (a) to calculate σ(a), σ(b) and σ(c), where, for any integer n, σ(n) is the sum of positive divisors of n;

(d) Give the list of positive divisors of a, b and c.

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Answer #1

These can be find by using standard formulae.

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