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Free 7th Grade Factors, Multiples & Primes Worksheets

12 free factors, multiples & primes resources for 7th Grade: 12 worksheets. Answers included.

Factors, multiples, prime and composite numbers. In 7th Grade, In 7th grade, math becomes algebraic: integers, simplifying expressions, substitution, solving simple equations, ratios and index notation.

Students will practice: listing factors and multiples; identifying prime and composite numbers; finding the HCF and LCM; recalling square numbers and square roots; recognizing square numbers; recalling cube numbers and cube roots; estimating square roots between whole numbers; drawing factor trees.

Recommended learning path

  1. 17th Grade Factors, Multiples and Primes Worksheet — Level 1
  2. 27th Grade Factors, Multiples and Primes Worksheet — Level 2
  3. 37th Grade Factors, Multiples and Primes Worksheet — Level 3
  4. 47th Grade Square and Cube Numbers Worksheet — Level 1
  5. 57th Grade Square and Cube Numbers Worksheet — Level 2
  6. 67th Grade Square and Cube Numbers Worksheet — Level 3
  7. 77th Grade Prime Factorization (Factor Trees) Worksheet — Level 1
  8. 87th Grade Prime Factorization (Factor Trees) Worksheet — Level 2
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    7th Grade Factors, Multiples and Primes Worksheet — Level 1

    List factors and multiples, identify prime numbers and find HCF and LCM. Builds confidence with the core skill before adding complexity.…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    7th Grade Factors, Multiples and Primes Worksheet — Level 2

    List factors and multiples, identify prime numbers and find HCF and LCM. Expected-level practice for this grade. This 7th Grade worksheet…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    7th Grade Factors, Multiples and Primes Worksheet — Level 3

    List factors and multiples, identify prime numbers and find HCF and LCM. A challenge set for students ready to stretch further. This 7th…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    7th Grade Square and Cube Numbers Worksheet — Level 1

    Square and cube numbers, square roots and cube roots, recognizing square and cube numbers, and estimating square roots. Builds confidence…

    Difficulty
    Level 1 · Easier
    Time
    10 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    7th Grade Square and Cube Numbers Worksheet — Level 2

    Square and cube numbers, square roots and cube roots, recognizing square and cube numbers, and estimating square roots. Expected-level…

    Difficulty
    Level 2 · Standard
    Time
    10 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    7th Grade Square and Cube Numbers Worksheet — Level 3

    Square and cube numbers, square roots and cube roots, recognizing square and cube numbers, and estimating square roots. A challenge set…

    Difficulty
    Level 3 · Challenge
    Time
    10 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    7th Grade Prime Factorization (Factor Trees) Worksheet — Level 1

    Break numbers into prime factors with a factor tree, write them as a product of primes and in index form, and rebuild numbers from their…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    7th Grade Prime Factorization (Factor Trees) Worksheet — Level 2

    Break numbers into prime factors with a factor tree, write them as a product of primes and in index form, and rebuild numbers from their…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    7th Grade Prime Factorization (Factor Trees) Worksheet — Level 3

    Break numbers into prime factors with a factor tree, write them as a product of primes and in index form, and rebuild numbers from their…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    7th Grade Divisibility Rules Worksheet — Level 1

    Use divisibility tests for 2, 3, 4, 5, 6, 8, 9 and 10 to decide whether a number divides exactly, without doing the division. Builds…

    Difficulty
    Level 1 · Easier
    Time
    10 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    7th Grade Divisibility Rules Worksheet — Level 2

    Use divisibility tests for 2, 3, 4, 5, 6, 8, 9 and 10 to decide whether a number divides exactly, without doing the division.…

    Difficulty
    Level 2 · Standard
    Time
    10 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    7th Grade Divisibility Rules Worksheet — Level 3

    Use divisibility tests for 2, 3, 4, 5, 6, 8, 9 and 10 to decide whether a number divides exactly, without doing the division. A challenge…

    Difficulty
    Level 3 · Challenge
    Time
    10 min
    Questions
    12 questions
    Answers
    Answers included

All factors, multiples & primes worksheets, every grade →

Common questions

What do 7th Grade students learn about factors, multiples & primes?

Factors, multiples, prime and composite numbers. At 7th Grade, our resources focus on: listing factors and multiples; identifying prime and composite numbers; finding the HCF and LCM; recalling square numbers and square roots.

Where should we start?

Start with the Level 1 or Level 2 worksheet, then move up a level. Finish with the topic test if there is one.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

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