Chapter 5.1, Problem 22WE

To determine

To find: The prime factorization of given number.

Answer to Problem 22WE

The prime factorization of 34 is $34=2\times 17$ .

Explanation of Solution

Given information:

The given number is 34.

Formula used:

The factors of an integer z are the prime numbers $p_1,p_2,p_3\dots$ , such that $z=p_1\times p_2\times p_3\times \dots \times p_n$. The expression $z=p_1\times p_2\times p_3\times \dots \times p_n$ is called the prime factorization of integer z.

Calculations:

The given number is 34.

In factor form the integer 34 can be written as

  $34=2\times 17$

The numbers 2 and 17 are prime numbers.

Hence, the prime factors of integer 34 are 2 and -17.

Conclusion:

The prime factorization of 34 is $34=2\times 17$ .