Problem 18 - Introductory Algebra for College Students

Question

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$23$$

Step-by-Step Solution

Answer

The number 23 is a prime number. Thus, it does not have a prime factorization other than the number itself.

Step 1: Identify the Expression to Factor

We need to factor the expression: \(23\).

Step 2: Look for Common Factors and Patterns

We examine the expression to find common factors, patterns (like difference of squares, perfect square trinomials, grouping), or use appropriate factoring techniques.

Step 3: Write the Factored Form

The number 23 is a prime number. Thus, it does not have a prime factorization other than the number itself.