Question

Find the prime factorization of the number. $$24$$

   Find the prime factorization of the number.
$$24$$

Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 1, Problem 155

Instant Answer

Solved by Expert Ashley Hanson

06/21/2020

Step 1

The smallest prime number is 2, and it can divide 24. So, we divide 24 by 2. $$\frac{24}{2} = 12$$ Show more…

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Find the prime factorization of the number. $$24$$

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Key Concepts

Divisibility Methods

Divisibility methods involve systematically testing whether small prime numbers divide the given number. These methods, such as factor trees or repeated division, provide a practical approach to breaking down a composite number into its prime components.

Unique Factorization Theorem

Also known as the Fundamental Theorem of Arithmetic, this theorem states that every natural number greater than 1 can be uniquely expressed as a product of prime factors, disregarding the order of multiplication. This property ensures that prime factorization is unique for each number.

Prime Factorization

Prime factorization is the process of expressing a composite number as a product of its prime factors. This method identifies the prime numbers that, when multiplied together, result in the original number.

Prime Numbers

Prime numbers are natural numbers greater than 1 that have no divisors other than 1 and themselves. They are the building blocks of all natural numbers, and they play a central role in the process of factorization.

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