Math Drills
Properties of Integers (Divisors and Multiples) Review
A-2Calculation
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What this worksheet covers
Listing divisors and multiples comes first, and pulling out what two numbers share leads on to common divisors, the greatest common divisor, common multiples and the least common multiple. Both listing and calculation are covered, along with word problems that ask when a quantity divides evenly and when two cycles line up again.
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The most frequent error is choosing the wrong tool for the situation, a greatest common divisor where a least common multiple was needed or the reverse. An answer smaller than the original numbers means a common divisor situation, and a larger one means common multiples. When listing divisors, 1 and the number itself also go missing.
The rows of the times table become a clue for studying number properties from an angle not tried before. What this rests on is the sequence of the 4s and 3s tables memorized in Times Tables: 5, 2, 3, and 4 in grade 2. The numbers found here are used exactly as they are in the unit that follows, Properties of Fractions, for reducing and finding common denominators.
- Divisors and Multiples (Listing) · Listing Divisors1 question
- Divisors and Multiples (Listing) · Listing Multiples1 question
- Common Divisors and Greatest Common Divisor · Listing Common Divisors2 questions
- Common Multiples and Least Common Multiple · Listing Common Multiples2 questions
- Common Divisors and Greatest Common Divisor · Greatest Common Divisor (Calculation)2 questions
- Common Multiples and Least Common Multiple · Least Common Multiple (Calculation)2 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Properties of Integers (Divisors and Multiples)”, shown with their answers.
(1)Write all the divisors of 31. Answer □
Answer: 1, 31
(2)Write the first 5 multiples of 24, starting from the smallest. Answer □
Answer: 24, 48, 72, 96, 120
(3)Write all the common divisors of 8 and 22. Answer □
Answer: 1, 2
(4)Write all the common divisors of 4 and 6. Answer □
Answer: 1, 2
(5)Write the first 3 common multiples of 9 and 18, starting from the smallest. Answer □
Answer: 18, 36, 54
(6)Write the first 3 common multiples of 9 and 10, starting from the smallest. Answer □
Answer: 90, 180, 270
(7)Find the greatest common divisor of 10 and 16. Answer □
Answer: 2
(8)Find the greatest common divisor of 33 and 44. Answer □
Answer: 11
(9)Find the least common multiple of 2 and 3. Answer □
Answer: 6
(10)Find the least common multiple of 4 and 8. Answer □
Answer: 8
What to do next
More worksheets in this unit
Divisors and Multiples (Listing)Divisors and Multiples (Listing) Calculation (Multiples)
Common Divisors and Greatest Common DivisorCommon Divisors and Greatest Common Divisor Calculation (Listing Common Divisors)
Common Divisors and Greatest Common DivisorCommon Divisors and Greatest Common Divisor Calculation (Greatest Common Divisor)
Common Divisors and Greatest Common DivisorCommon Divisors and Greatest Common Divisor Word Problems (Common Divisors)
Common Divisors and Greatest Common DivisorCommon Divisors and Greatest Common Divisor Word Problems (Using the GCD)
Common Multiples and Least Common MultipleCommon Multiples and Least Common Multiple Calculation (Listing Common Multiples)
Common Multiples and Least Common MultipleCommon Multiples and Least Common Multiple Calculation (Least Common Multiple)
Common Multiples and Least Common MultipleCommon Multiples and Least Common Multiple Word Problems (Using the LCM)
Properties of Integers (Divisors and Multiples) ReviewProperties of Integers (Divisors and Multiples) Review Word Problems
