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Understanding Factors Worksheet

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Understanding Factors Worksheet

Use multiplication and division facts to find factors. Show your thinking where asked.

Arrays and factor families

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1.Use the 15-counter array above to write its two multiplication facts and two matching division facts.
2.Draw every different rectangular array you can make with 12 counters. Turned versions of the same array do not count as different.
3.Write all the factors of 12 in order from smallest to largest.
4.Which numbers are factors of 20? Select every correct answer.
  • 2
  • 3
  • 4
  • 6
  • 5
  • 10

Prime and composite numbers

5.Complete both statements. A prime number has exactly factors: and . A composite number has more than factors.
6.Find every factor of 11, then classify 11 as prime or composite.
7.Find every factor of 21, then classify 21 as prime or composite.
8.Explain why 17 is a prime number.
9.Select all the prime numbers in this list: 11, 12, 13, 15, 17, 21.
  • 11
  • 12
  • 13
  • 15
  • 17
  • 21

Use factors to solve problems

10.Layla puts 30 tiles into 5 equal rows. How many tiles are in each row? Write a multiplication sentence to check your answer.
11.Which number has exactly three factors?
  • 8
  • 16
  • 25
  • 27
12.A factor-finding game begins with the number 18. Write three different proper factors of 18 (factors smaller than 18) that a player could choose.
13.Find a composite number between 20 and 30 that has exactly six factors. List its factors to prove your answer.

3 printable pages

  • Understanding Factors Worksheet, page 1 of 3: Arrays and factor families

    Page 1

  • Understanding Factors Worksheet, page 2 of 3: Prime and composite numbers

    Page 2

  • Understanding Factors Worksheet, page 3 of 3: Use factors to solve problems

    Page 3

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