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number theory
 divisibility rules
 factors
 prime numbers
 sequences and series

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Pre-Algebra
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Factors
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These problems provide practice with factors and 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: Learning to Factor
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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Fences for Fido and Friends
- Annie Fetter
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Pre-Algebra, difficulty level 2. Find the area of each rectangular dog pen.
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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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Kate's Combination
- Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Find Kate's locker combination using mathematical clues. Is there more than one possibility?
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Milk Madness
- Suzanne Alejandre
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Pre-Algebra, difficulty level 4. Help Georgina find out how much milk is left using the number pattern she describes.
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Rampaging Reindeer
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. How many different ways can Santa's reindeer be arranged?
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Tiling Tables
- Suzanne Alejandre
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Pre-Algebra, difficulty level 3. Find a method to quickly calculate the dimensions of a rectangular table top with a given area so that it has the smallest possible perimeter.
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