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number theory
 divisibility rules
 factors
 prime numbers
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Prime Numbers
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These problems provide practice with prime factorization in problem solving and mathematical reasoning.
- Related Resources
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Interactive resources from our Math Tools project:

Math 7: Number Theory
The closest match in our Ask Dr. Math archives:

FAQ: Prime Numbers
NCTM Standards:

Number and Operations Standard for Grades 6-8
Access to these problems requires a Membership.
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Coding Conundrums
- Mary DeYoung & class
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Pre-algebra, difficulty level 2. Explore encoding and decoding in this cipher puzzle.
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Counting Chicken Wings
- Annie Fetter, Suzanne Alejandre
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Pre-algebra, difficulty level 3. Figure out how many wings are in the Biggest Bucket O' Wings.
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Divisible by a Dozen
- Terry Trotter & Annie Fetter
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Pre-Algebra, difficulty level 3. If you take any three consecutive integers, multiply the first times the square of the second, then multiply by the third, is 12 a factor of the product?
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An Interesting Integer
- Judy Ann Brown
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Pre-algebra, difficulty level 2. I'm thinking of a particular integer. It is a multiple of three, five, and seven. No digit occurs more than once. Can you find my number?
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Open and Shut Case
- Judy Ann Brown
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Pre-algebra, difficulty level 2. Find the locker combination using mathematical clues.
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Palindrome Day
- Judy Ann Brown
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Pre-algebra, difficulty level 2. How many Palindrome Days are there in a year?
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Prime Probability
- Lisa Lavelle
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Pre-algebra, difficulty level 3. Given the expression n^2 - 5, what is the probability that the result is prime for integers between 2 and 12?
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Treasure Hunt Math
- Judy Ann Brown
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Pre-algebra, difficulty level 3. Use clues to find the mystery palindrome.
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