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Let a = 5200 and b = 1320.
(a) If a is the dividend and b is the divisor, determine the quotient q and remainder r.
(b) Use the Euclidean Algorithm to find gcd(a; b).
(c) Use your work in part (b) to write gcd(a; b) as a linear combination of a and b.
(d) Give the prime factorization of each of a and b.
(e) Use your answer to part (d) to find gcd(a; b) and lcm(a; b).
1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
F(x)=2x+3
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