Q?3: [5×4 marks]
a. Find a, b if a+2b=107 mod 9 and 2a+b=-55 mod 7.
b. Write the prime factorization of 229320 and 49140, hence findGCD and LCM.
c. Convert the following number (1303)4 to base 5.
d. Using the Prime Factorization technique determine whether 173 isa prime.
e. Use the cipher: f(x)=(x+7) mod 26 to decrypt “THAO ALZA”.
