algebra

posted by .

For a positive integer x, let f(x) be the function which returns the number of distinct positive factors of x. If p is a prime number, what is the minimum possible value of f(75p2)?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. mathematics

    Let σ(n) be the sum of the positive divisors of an integer n and ϕ(n) be the number of positive integers smaller than n that are coprime to n. If p is a prime number, what is the maximum value σ(p)ϕ(p)?
  2. maths

    Let σ(n) be the sum of the positive divisors of an integer n and ϕ(n) be the number of positive integers smaller than n that are coprime to n. If p is a prime number, what is the maximum value σ(p)ϕ(p)?
  3. Algebra 2 ..

    Please explain on how to do each of these! *Let (x) be defined for all positive integer values of xas the product of all even factors of 4x. For example, (3)=12x6x4x2=576. What is the value of (5)?
  4. Sigma over Phi

    Let σ(n) be the sum of the positive divisors of an integer n and ϕ(n) be the number of positive integers smaller than n that are coprime to n. If p is a prime number, what is the maximum value σ(p)/ϕ(p)?
  5. Math (Complex Numbers)

    Let N be the sum of all prime powers that can be written as 4^n+n^4 for some positive integer n. What are the last 3 digits of N?
  6. pcm

    For positive integer x, let f(x) be the function which returns the number of distinct positive factors of x. If p is a prime number, what is the minimum possible value of f(75p2)?
  7. math

    For a positive integer x, let f(x) be the function which returns the number of distinct positive factors of x. If p is a prime number, what is the minimum possible value of f(75p2)?
  8. math

    For a positive integer x, let f(x) be the function which returns the number of distinct positive factors of x. If p is a prime number, what is the minimum possible value of f(75p^2)?
  9. Math (algebra)

    Let x,y be complex numbers satisfying x+y=a xy=b, where a and b are positive integers from 1 to 100 inclusive. What is the sum of all possible distinct values of a such that x^3+y^3 is a positive prime number?
  10. Math

    The number p is the product of three different positive prime numbers greater than 2.If the sum of these three prime number is also prime, what is the smallest possible value for p?

More Similar Questions