Explanation 1) Approach: Factor the natural numbers with help of the factor tree. If the number is not factorable by any prime, then the number is prime. 2) Calculation: Given, The number 319 Here, 17 < 319 < 19 Thus, the greatest prime factor of the given number will not be greater than 17. Clearly, 2 is not a factor. Since, the sum of the digits of 319 is 13 ( = 3 + 1 + 9 ) , which is not divisible by 3

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ISBN: 9780134434681

Author: Tom Pirnot

Publisher: PEARSON

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Chapter 6.1, Problem 43E

To determine

To factor:

The natural number 319 and to state whether it is prime 319.

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Chapter 6.1, Problem 42E

Chapter 6.1, Problem 44E

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To factor: The natural number 319 and to state whether it is prime 319.

Solution Summary: The author explains how to factor the natural number 319 with help of the factor tree. If the number is not factorable by any prime, then it is prime.