only answers

(2 points) Find the prime factorization of the follwing numbers: (write p if a prime does not appear in the given number.) 180 = 20 3 50 7 11 13/ 17819" where a = b = C : d = e = = 8 = 19600 = 20 3 507 11 13/ 178 19h where a = = d = e = = 8 = = 12716 = 203 50 7d 11 13/ 17819h where a = = e = = 8 = = 41327 = 23 507 11 13/ 17819k where a = b = = d = = 8 = =(2 points) The value of the Euler 45 function (q is the Greek letter phi) at the positive integer n is defined to be the number of positive integers less than or equal to n that are relatively prime to n. For example fon n=14, we have {1, 3, 5, 9, 11, 13} are the positive integers less than or equal to 14 which are relatively prime to 14. Thus 45(14) = 6. Find: 95(3) 45(9) M15) M75) (2 points) What are the greatest common divisors of the following pairs of integers? (a)22 .33 -52 and24 -33 -55 Answer=D (m7 '3'5-7-11-13and37 .57 .119.17 Answer=D (0)22 -7and 53 - 13 Answer = C] (2 points) Determine the least common multiple of 17 and 32. Icm(17, 32) =