Question: 1. For an integer n 1, we define (n) = number of positive integers less than n which are relatively prime to n. (a)Find (28).

1. For an integer n 1, we define (n) = number of positive integers less than n which

are relatively prime to n.

(a)Find (28).

(b)Let p be a prime number. List all divisors of p3, and use your list to find (p3).

(c)Find an example showing that (mn) = (m)(n) does not hold.

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