Question

4. Let a = 24, b = 105 and c = 594. (a) Find the prime...

4. Let a = 24, b = 105 and c = 594.

(a) Find the prime factorization of a, b and c.

(b) Use (a) to calculate d(a), d(b) and d(c), where, for any integer n, d(n) is the number of positive divisors of n;

(c) Use (a) to calculate σ(a), σ(b) and σ(c), where, for any integer n, σ(n) is the sum of positive divisors of n;

(d) Give the list of positive divisors of a, b and c.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

These can be find by using standard formulae.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use C++ to implement the following program about Prime Factorization of a Number. Do BOTH parts...
Use C++ to implement the following program about Prime Factorization of a Number. Do BOTH parts of the problem or you will lose points. Provide comments to explain each step. a. Write a function that takes as a parameter a positive integer and returns a list (array) of the prime factors of the given integer. For example, if the parameter is 20, you should return 2 2 5. b. Write a function that tests the above function by asking the...
Let a positive integer n be called a super exponential number if its prime factorization contains...
Let a positive integer n be called a super exponential number if its prime factorization contains at least one prime to a power of 1000 or larger. Prove or disprove the following statement: There exist two consecutive super exponential numbers.
Activity 6.6. (a) A positive integer that is greater than 11 and not prime is called...
Activity 6.6. (a) A positive integer that is greater than 11 and not prime is called composite. Write a technical definition for the concept of composite number with a similar level of detail as in the “more complete” definition of prime number. Note. A number is called prime if its only divisors are 1 and itself. This definition has some hidden parts: a more complete definition would be as follows. A number is called prime if it is an integer,...
Appendix B Problem 3 Let Ω = {1,2,...,100} and let A,B and C be the following...
Appendix B Problem 3 Let Ω = {1,2,...,100} and let A,B and C be the following subsets of Ω. A = {positive even numbers which are at most 100} B = {two-digit numbers where the digit 5 appears} C = {positive integer multiples of 3 which are at most 100} D = {two-digit numbers such that the sum of the digits is 10} List the elements of each of the following sets: a) B\A b) A∩B∩Cc c) ((A\D)∪B)∩(C ∩D)
4. 3323 A prime number can be divided, without a remainder, only by itself and by...
4. 3323 A prime number can be divided, without a remainder, only by itself and by 1. Write a code segment to determine if a defined positive integer N is prime. Create a list of integers from 2 to N-1. Use a loop to determine the remainder of N when dividing by each integer in the list. Set the variable result to the number of instances the remainder equals zero. If there are none, set result=0 (the number is prime)....
4) Let F be a finite field. Prove that there exists an integer n ≥ 1,...
4) Let F be a finite field. Prove that there exists an integer n ≥ 1, such that n.1F = 0F . Show further that the smallest positive integer with this property is a prime number.
Let phi(n) = integers from 1 to (n-1) that are relatively prime to n 1. Find...
Let phi(n) = integers from 1 to (n-1) that are relatively prime to n 1. Find phi(2^n) 2. Find phi(p^n) 3. Find phi(p•q) where p, q are distinct primes 4. Find phi(a•b) where a, b are relatively prime
See four problems attached. These will ask you to think about GCDs and prime factorizations, and...
See four problems attached. These will ask you to think about GCDs and prime factorizations, and also look at the related topic of Least Common Multiples (LCMs). The prime factorization of numbers can be used to find the GCD. If we write the prime factorization of a and b as a = p a1 1 p a2 2 · p an n b = p b1 1 p b2 2 · p bn n (using all the primes pi needed...
Let M= ⎡⎣⎢⎢ 0 -8 ⎤⎦⎥⎥ 4 12 . Find formulas for the entries of Mn,...
Let M= ⎡⎣⎢⎢ 0 -8 ⎤⎦⎥⎥ 4 12 . Find formulas for the entries of Mn, where n is a positive integer.
Consider the graph G = K4 consisting of a single undirected cycle (a, b, c, d,...
Consider the graph G = K4 consisting of a single undirected cycle (a, b, c, d, a) of length 4. Let n be a positive integer. Give an explicit formula for the number of paths in G of length n from a to b.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT