Assuming that p, q, and r are distinct primes, how many positive divisors does m have? 1) If m...

Question:

Assuming that p, q, and r are distinct primes, how many positive divisors does m have?

1) If {eq}m = q^3{/eq}

2) If {eq}m=p^2 q^2{/eq}

3) If {eq}m = pqr{/eq}

Prime factorization:

Each whole number has a unique prime factorization, i.e., it can be written one and only one way as a product of prime numbers

Answer and Explanation:

Each positive divisor of a number m can be written as a product of a subset of the prime factors of m. For example, if m = 12, which has prime...

See full answer below.

Become a Study.com member to unlock this answer! Create your account

View this answer

Learn more about this topic:

What is Prime Factorization? - Definition & Examples

from High School Algebra II: Help and Review

Chapter 14 / Lesson 14
64K

Related to this Question

Explore our homework questions and answer library