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a) Describe a procedure for finding the prime

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 8RQ Chapter 4.R

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 8RQ

Problem 8RQ

a) Describe a procedure for finding the prime factorization of an integer,

b) Use this procedure to find the prime factorization of 80,707.

Step-by-Step Solution:

Solution:

Step 1:

a)In this problem we need to describe a procedure for finding the prime factorization of an integer.

We know that every integer has a prime factorization.

Let us consider , n is an integer and p is aprime number.

If n has no prime factors not exceeding is found, then n is a prime number.

If n has a prime factor , then a prime factor p not exceeding  will be found , then continue by factoring  . Note that  has no prime factors less than p.

Again if  has no prime factor not exceeding  is found, then  is a prime number.Otherwise if it has a prime factor q not exceeding  will be found, then continue by factoring . Note that  has no prime factors less than q.This procedure will continued until the factorization has been reduced to a prime number.

Step 2 of 2

Chapter 4.R, Problem 8RQ is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

This full solution covers the following key subjects: factorization, procedure, prime, Integer, finding. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The full step-by-step solution to problem: 8RQ from chapter: 4.R was answered by , our top Math solution expert on 06/21/17, 07:45AM. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. Since the solution to 8RQ from 4.R chapter was answered, more than 416 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The answer to “a) Describe a procedure for finding the prime factorization of an integer,________________b) Use this procedure to find the prime factorization of 80,707.” is broken down into a number of easy to follow steps, and 22 words.

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a) Describe a procedure for finding the prime