Prove or Disprove: for All Integers $$a , b , c , \text { if } a \mid b c , \text { then } a \mid b \text { or } a \mid c .$$

Q10: Find the prime factorization of 111111.

Q51: Convert (271)₈ to base 2 .

Q52: Express gcd(84, 18) as a linear combination

Q53: Solve the linear congruence 54x ≡ 12

Q54: Use the Euclidean Algorithm to find gcd(900,

Q55: Use the Euclidean Algorithm to find gcd(128,

Q57: Prove or disprove: For all integers

Q58: Prove or disprove: For all integers

Q59: Explain in words the difference between

Q60: determine whether each of the following