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Middle School
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Middle School: Factors, Prime Numbers
Students in grades 68 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 middleschool 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 68 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 middleschool sites, go to the bottom of the
page, set the searcher for middle school (68), 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 sixdigit number that can be written following two simple rules.
... more>>

Coding Conundrums
 Mary DeYoung & class

PreAlgebra, difficulty level 2. Explore encoding and decoding in this cipher puzzle.
... more>>

Dividing Daffodils
 Suzanne Alejandre

PreAlgebra, difficulty level 4. Help us plant our garden of daffodils.
... more>>

Guess My Number If You Can!
 Judy Ann Brown

PreAlgebra, difficulty level 4. Use division clues to reveal the secret number.
... more>>

How Wide Is My Garden?
 Judy Ann Brown

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, difficulty level 2. Find the locker combination using mathematical clues.
... more>>

Palindrome Day
 Judy Ann Brown

PreAlgebra, 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

PreAlgebra, difficulty level 3. Use clues to find the mystery palindrome.
... more>>
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