Prime Factorisation: Product & Index Notation (Year 11)
Free printable UK Year 11 (GCSE Foundation) maths worksheet: write a number as a product of prime factors using index notation, and work backwards from a factorisation to the number.
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Grade 10 · Math worksheet
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Math
Prime Factorisation: Product & Index Notation
Write each number as a product of its prime factors using index notation (e.g. 2^3 x 3), or work backwards from a given prime factorisation to the number itself.
- 1.Write 104 as a product of its prime factors, using index notation.
- 2.Write 100 as a product of its prime factors, using index notation.
- 3.Write 219 as a product of its prime factors, using index notation.
- 4.Write 522 as a product of its prime factors, using index notation.
- 5.Write 707 as a product of its prime factors, using index notation.
- 6.Write 371 as a product of its prime factors, using index notation.
- 7.Write 796 as a product of its prime factors, using index notation.
- 8.A number has the prime factorisation 2² × 3³ × 5. Work out the number.
- 9.A number has the prime factorisation 2³ × 31. Work out the number.
- 10.A number has the prime factorisation 2⁸ × 3. Work out the number.
- 11.A number has the prime factorisation 2³ × 3². Work out the number.
- 12.A number has the prime factorisation 2³ × 7. Work out the number.
- 13.The prime factorisation of a number is 2 × 3 × 53. How many prime factors does it have, counted WITH repetition (i.e. counting powers)?
- 14.The prime factorisation of a number is 7 × 107. How many prime factors does it have, counted WITH repetition (i.e. counting powers)?
- 15.The prime factorisation of a number is 2 × 3 × 5 × 23. How many prime factors does it have, counted WITH repetition (i.e. counting powers)?
- 16.The prime factorisation of a number is 2 × 79. How many prime factors does it have, counted WITH repetition (i.e. counting powers)?
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