Grade 6 Prime factorization Worksheets
Grade 6 practice: Write a whole number as a product of its prime factors. Choose a level below to generate a fresh set of questions.
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Understanding prime factorization
Prime factorisation writes a whole number as a product of only prime numbers, showing the unique set of primes that build it. In Grade 6 learners factor a number down to its primes, often using a factor tree. This representation is the key to finding greatest common factors, least common multiples, and simplifying fractions efficiently.
For example, 60 = 2 × 2 × 3 × 5, usually written 2² × 3 × 5. A common mistake is to stop before every factor is prime, leaving a composite such as 4 or 6 in the product. A helpful tip is to keep splitting each branch of the factor tree until every leaf is a prime, then collect the primes; checking that multiplying them all back together returns the original number confirms the factorisation is complete.
Sample prime factorization questions
These examples come from the Easy setting. Generate a worksheet for a complete page with space for working.
- Write the prime factorization of 35.
- Write the prime factorization of 77.
- Write the prime factorization of 121.
- Write the prime factorization of 33.
Check the sample answers
- 5 × 7
- 7 × 11
- 11 × 11
- 3 × 11
Practice focus
Write a whole number as a product of its prime factors. Show each step and check the answer.
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