Question

Find the prime factorization of each number. $$ 28 $$

   Find the prime factorization of each number.
$$
28
$$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 1, Problem 17

Instant Answer

Solved by Expert Meredith Moody

04/11/2020

Step 1

We start by finding the smallest prime number that can divide 28, which is 2. Show more…

Show all steps

lock

Thanks for your feedback!

Find the prime factorization of each number. $$ 28 $$

Play audio

Feedback

Powered by NumerAI

Meredith Moody and 53 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Prime Factorization

Prime factorization is the process of expressing a composite number as a product of prime numbers. This technique is foundational in number theory because it helps reveal the building blocks of numbers and is essential for solving problems related to greatest common factors, least common multiples, and simplifying fractions.

Prime Numbers

Prime numbers are natural numbers greater than 1 that have no divisors other than 1 and themselves. They serve as the 'atoms' of arithmetic since every composite number can be decomposed into a unique product of prime numbers. Understanding prime numbers is critical for grasping the concept of prime factorization.

Divisibility

Divisibility is the mathematical property that indicates whether one number can be divided by another without leaving a remainder. Mastery of divisibility rules is crucial for prime factorization since these rules help identify which prime numbers can divide a composite number, simplifying the factorization process.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later