Discrete math

Scope: Chapter 3 of the book: Big-O notation, Integers, Divisions, Primes, Matrices Write the following functions in the order of growth. Which of these functions are same in terms of growth? n^4, n^8, 4^n, 8^n, 4n, 8n, log n, n! Give a Big-O estimate of the function (n! +2^n)(n^3 + log(n^2 + 1)). Prove, if a | b and b | c, then a | c. Is 76713 a prime number? If not, draw its factorization tree. Calculate the gcd of 252 and 198 using Euclidean algorithm. Multiply following two matrices. [1 2 1 0 1 0 2 3 4] times [2 5 6 7 1 8]