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Factors

These problems provide practice with factors and factorization in problem solving and mathematical reasoning.
 Related Resources

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 68
Access to these problems requires a Membership.

Coding Conundrums
 Mary DeYoung & class

PreAlgebra, difficulty level 2. Explore encoding and decoding in this cipher puzzle.
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Counting Chicken Wings
 Annie Fetter, Suzanne Alejandre

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, difficulty level 2. Find the area of each rectangular dog pen.
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An Interesting Integer
 Judy Ann Brown

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, difficulty level 3. How many different ways can Santa's reindeer be arranged?
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Tiling Tables
 Suzanne Alejandre

PreAlgebra, 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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