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Chapter 1: Problem 18

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

Short Answer

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

Step by step solution

01

Checking If the Number is Prime

A number is said to be a prime number if it has only two distinct natural number divisors: 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, and so on. By definition, the number 1 and all negative numbers are not prime numbers.\nLet's check if 23 is a prime number. It's not divisible by any number other than 1 and itself. Therefore, \(23\) is a prime number, not a composite number. Since prime numbers do not have a factorization into primes other than the number itself, we stop here.

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