Prime Factorisation: Product & Index Notation (Year 10)
Free printable UK Year 10 (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.
✓ Answer key checked by math, never wrong
Grade 9 · Math worksheet
Name
Date
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 240 as a product of its prime factors, using index notation.
- 2.Write 429 as a product of its prime factors, using index notation.
- 3.Write 728 as a product of its prime factors, using index notation.
- 4.Write 135 as a product of its prime factors, using index notation.
- 5.Write 620 as a product of its prime factors, using index notation.
- 6.Write 81 as a product of its prime factors, using index notation.
- 7.Write 504 as a product of its prime factors, using index notation.
- 8.A number has the prime factorisation 2² × 5 × 13. Work out the number.
- 9.A number has the prime factorisation 2² × 53. Work out the number.
- 10.A number has the prime factorisation 17 × 37. Work out the number.
- 11.A number has the prime factorisation 2 × 3 × 79. Work out the number.
- 12.A number has the prime factorisation 2² × 5 × 31. Work out the number.
- 13.The prime factorisation of a number is 5² × 19. How many prime factors does it have, counted WITH repetition (i.e. counting powers)?
- 14.The prime factorisation of a number is 2 × 251. How many prime factors does it have, counted WITH repetition (i.e. counting powers)?
- 15.The prime factorisation of a number is 3² × 5 × 11. How many prime factors does it have, counted WITH repetition (i.e. counting powers)?
- 16.The prime factorisation of a number is 2² × 5 × 11. How many prime factors does it have, counted WITH repetition (i.e. counting powers)?
Made with ChalkBee · chalkbee.com