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Operations & Algebraic Thinking: Factors and Multiples CCSS 4.OA.4 Facts & Worksheets

Multiplication relies on memorization and familiarity with the multiplication tables. Once we’ve memorized all of our multiplication tables, factors and multiples will be very easy.

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Worksheets /Math /Grade 4 (ages 9-10) /Operations & Algebraic Thinking: Factors and Multiples CCSS 4.OA.4 Facts & Worksheets
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Operations & Algebraic Thinking Factors and Multiples CCSS 4.OA.4 Worksheets
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Multiplication relies on memorization and familiarity with the multiplication tables. Once we’ve memorized all of our multiplication tables, factors and multiples will be very easy.

See the fact file below for more information on the factors and multiples or alternatively, you can download our 24-page Operations & Algebraic Thinking: Factors and Multiples CCSS 4.OA.4 worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE:

  • At the end of the lesson, students will be able to identify the factors of a whole number and determine whether a given whole number is a multiple of a given one-digit number. Students will also be able to determine whether a whole number is prime or composite.

A NOTE FOR THE TEACHER:

  • When teaching factors and multiples, take note of the following:
    • Make sure the student remembers their multiplication tables.
    • Assist the student in understanding that multiples are the product of its factors.
    • Explain clearly to the student the difference between prime and composite numbers.

THEORY:

  • Multiplication relies on memorization and familiarity with the multiplication tables. Once we’ve memorized all of our multiplication tables, factors and multiples will be very easy.
  • Factors are whole numbers that can evenly divide another number. Factor pairs are two numbers multiplied together to get a certain product. An example of this is 3 and 4 that, when multiplied together, will make 12. All numbers have 1 and itself as a factor. We can take 17 x 1 = 17 as an example. 17 and 1 are factors of 17.
  • Think of factors and multiples as just knowing which two numbers “go together” to make a bigger number, and which bigger number is “made up” of two smaller numbers.
  • For example, we are asked what the factors of 12 are. We know which pairs of numbers make 12 when multiplied to each other. Those numbers are: 1 and 12, 2 and 6, and 3 and 4. Therefore, the factors of 12 are 1, 2, 3, 4, 6, and 12. We call 12 a multiple of all those factors.
  • We can also think of factors and multiples as different ways of grouping a number. Let’s say you have 12 apples. You can separate these apples evenly in 6 ways, but for our purposes let’s name 3.  You can make one group with 12 apples, 2 groups with 6 apples, and 3 groups with 4 apples. No matter how you group them, they will still amount to 12 apples.
  • Prime numbers are numbers that only have two factors, 1 and the number itself. For example: 47 is a prime number because it’s only factors are 47 and 1. 2 is a prime number because it’s only factors are 2 and 1. Composite numbers, on the other hand, are all the numbers that have more than 1 pair of factors. You can think of composite numbers as anything not a prime number. Our previous example, 12, is a composite number because it has factors other than 1 and itself.

Operations & Algebraic Thinking: Factors and Multiples CCSS 4.OA.4 Worksheets

This is a fantastic bundle that includes everything you need to know about Operations & Algebraic Thinking: Factors and Multiples across 24 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 4.OA.4 for Operations & Algebraic Thinking: Factors and Multiples.

Table of contents:

  • A lesson plan
  • Warm-up activity
  • Math theory explained
  • Assisted learning activities
  • Independent learning activities
  • Extension activities and games
  • Answer keys

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Use With Any Curriculum

These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.

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