Math Forum - Problems Library - Middle School, Factors, Primes

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Middle School: Factors, Prime Numbers

Students in grades 6-8 continue to deepen their understanding of factors, multiples, prime factorization, and relatively prime numbers, using them in problem solving and to practice mathematical reasoning. Problems appropriate for middle-school students in which factors, factoring, or prime numbers play an important part are listed below.

These problems address the NCTM Number and Operations Standard for Grades 6-8 expectation that students should be able to use factors, multiples, prime factorization, and relatively prime numbers to solve problems.

For background information elsewhere on our site, explore the Middle School Factoring area of the Ask Dr. Math archives, and see Learning to Factor and Prime Numbers from the Dr. Math FAQ. To find relevant sites on the Web, browse and search Prime Numbers in our Internet Mathematics Library; to find middle-school sites, go to the bottom of the page, set the searcher for middle school (6-8), and press the Search button.


Access to these problems requires a Membership.

Can This Be Done? - Judy Ann Brown
Middle School, difficulty level 1. Find the largest six-digit number that can be written following two simple rules. ... more>>

Coding Conundrums - Mary DeYoung & class
Pre-Algebra, difficulty level 2. Explore encoding and decoding in this cipher puzzle. ... more>>

Dividing Daffodils - Suzanne Alejandre
Pre-Algebra, difficulty level 4. Help us plant our garden of daffodils. ... more>>

Guess My Number If You Can! - Judy Ann Brown
Pre-Algebra, difficulty level 4. Use division clues to reveal the secret number. ... more>>

How Wide Is My Garden? - Judy Ann Brown
Pre-Algebra, difficulty level 3. A scale drawing is used to determine the width and area of a garden. ... more>>

The Locker Problem - Ethel Breuche
Discrete Math, difficulty level 2. This classic number theory problem investigates properties of prime numbers, perfect squares, and counting in a problem that involves opening and closing locker doors. ... more>>

Milk Madness - Suzanne Alejandre
Pre-Algebra, difficulty level 4. Help Georgina find out how much milk is left using the number pattern she describes. ... more>>

Open and Shut Case - Judy Ann Brown
Pre-Algebra, difficulty level 2. Find the locker combination using mathematical clues. ... more>>

Palindrome Day - Judy Ann Brown
Pre-Algebra, difficulty level 2. How many Palindrome Days are there in a year? ... more>>

Simple Arithmetic - Judy Ann Brown
Middle School, difficulty level 2. Titles can be deceiving - this is a simple arithmetic problem but you need to find the numbers. ... more>>

Treasure Hunt Math - Judy Ann Brown
Pre-Algebra, difficulty level 3. Use clues to find the mystery palindrome. ... more>>

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