# a) Describe a procedure for finding the prime ## Problem 8RQ Chapter 4.R

Discrete Mathematics and Its Applications | 7th Edition

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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:
Step 1 of 3

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

Step 2 of 3

Step 3 of 3

##### 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 241 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7th. 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

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