Math Drills

Properties of Integers (Divisors and Multiples) worksheets for Grade 5 (Elementary School)

What this unit 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.

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.

Learning steps

Divisors and Multiples (Listing)

  • Listing Divisors
  • Listing Multiples

Common Divisors and Greatest Common Divisor

  • Listing Common Divisors
  • Greatest Common Divisor (Calculation)
  • Listing Common Divisors (Word Problems)
  • Using the Greatest Common Divisor

Common Multiples and Least Common Multiple

  • Listing Common Multiples
  • Least Common Multiple (Calculation)
  • Using the Least Common Multiple

Worksheets

Divisors and Multiples (Listing)

  • Calculation (Divisors)

    • Listing Divisors10 questions
  • Calculation (Multiples)

    • Listing Multiples10 questions

Common Divisors and Greatest Common Divisor

  • Calculation (Listing Common Divisors)

    • Listing Common Divisors10 questions
  • Calculation (Greatest Common Divisor)

    • Greatest Common Divisor (Calculation)10 questions
  • Word Problems (Common Divisors)

    • Listing Common Divisors (Word Problems)5 questions
  • Word Problems (Using the GCD)

    • Using the Greatest Common Divisor5 questions

Common Multiples and Least Common Multiple

  • Calculation (Listing Common Multiples)

    • Listing Common Multiples10 questions
  • Calculation (Least Common Multiple)

    • Least Common Multiple (Calculation)10 questions
  • Word Problems (Using the LCM)

    • Using the Least Common Multiple5 questions

Summary Prints

  • Calculation

    • 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
  • Word Problems

    • Common Divisors and Greatest Common Divisor · Listing Common Divisors (Word Problems)1 question
    • Common Divisors and Greatest Common Divisor · Using the Greatest Common Divisor2 questions
    • Common Multiples and Least Common Multiple · Using the Least Common Multiple2 questions

Related study guides

Frequently asked questions

What do the “Properties of Integers (Divisors and Multiples)” worksheets for Grade 5 (Elementary School) practice?
They cover problems such as Listing Divisors, Listing Multiples, Listing Common Divisors, Greatest Common Divisor (Calculation), Listing Common Divisors (Word Problems), Using the Greatest Common Divisor, Listing Common Multiples, Least Common Multiple (Calculation).
How many “Properties of Integers (Divisors and Multiples)” worksheets are there for Grade 5 (Elementary School)?
37 worksheets are free to use. Every one is a printable PDF and comes with an answer key.

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