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Write a prime factorisation using powers

6th grade (Year 7 in England) · 16 questions · Common Core: 6.NS.B.4, 6.EE.A.1 · England: KS3 Number, GCSE Foundation Number

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  1. Question 1

    What number has the prime factorisation 2³ × 3² × 5²?

    Answer

  2. Question 2

    Write 45 as a product of prime factors in index form (for example 2^3 × 5).

    Answer

  3. Question 3

    60 = □ × 2 × 3 × 5. Every factor is prime. What prime goes in the box?

    Answer

  4. Question 4

    What number has the prime factorisation 2³ × 3² × 5?

    Answer

  5. Question 5

    Write 12 as a product of prime factors in index form (for example 2^3 × 5).

    Answer

  6. Question 6

    84 = □ × 2 × 3 × 7. Every factor is prime. What prime goes in the box?

    Answer

  7. Question 7

    What number has the prime factorisation 2³ × 3 × 5?

    Answer

  8. Question 8

    Write 18 as a product of prime factors in index form (for example 2^3 × 5).

    Answer

  9. Question 9

    770 = □ × 5 × 7 × 11. Every factor is prime. What prime goes in the box?

    Answer

  10. Question 10

    What number has the prime factorisation 2³ × 3 × 5²?

    Answer

  11. Question 11

    Write 45 as a product of prime factors in index form (for example 2^3 × 5).

    Answer

  12. Question 12

    495 = □ × 3 × 5 × 11. Every factor is prime. What prime goes in the box?

    Answer

  13. Question 13

    What number has the prime factorisation 2³ × 3² × 5²?

    Answer

  14. Question 14

    Write 80 as a product of prime factors in index form (for example 2^3 × 5).

    Answer

  15. Question 15

    90 = □ × 3 × 3 × 5. Every factor is prime. What prime goes in the box?

    Answer

  16. Question 16

    What number has the prime factorisation 2² × 3 × 5?

    Answer

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Answer key: Write a prime factorisation using powers

  1. 1. 1800

  2. 2. 3² × 5

  3. 3. 2

  4. 4. 360

  5. 5. 2² × 3

  6. 6. 2

  7. 7. 120

  8. 8. 2 × 3²

  9. 9. 2

  10. 10. 600

  11. 11. 3² × 5

  12. 12. 3

  13. 13. 1800

  14. 14. 2⁴ × 5

  15. 15. 2

  16. 16. 60