AQA · Mathematics · 8300

GCSE Maths: Number: prime numbers

Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Number: prime numbers (Corbettmaths Video 225), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.

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  1. What is the only even prime number?

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    2

  2. Is 1 a prime number?

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    No. By definition, a prime number must have exactly two distinct factors (1 and itself), but 1 has only one factor.

  3. Why is the statement 'all prime numbers are odd' incorrect?

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    Because 2 is prime and even.

  4. What does Goldbach's conjecture state?

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    Every even number greater than 2 can be written as the sum of two primes.

  5. What is the least common multiple (LCM) of 8 and 12?

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    24. Both 8 and 12 divide evenly into 24, and it is the smallest such number.

  6. What is the least common multiple (LCM) of 20 and 12?

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    60. This is the smallest number that both 20 and 12 divide into evenly.

  7. Are there more prime numbers between 30 and 40, or between 40 and 50?

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    Between 40 and 50. There are 3 primes (41, 43, 47) versus only 2 primes (31, 37) between 30 and 40.

  8. What are the positive factors of 38?

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    1, 2, 19, and 38.

  9. What divisibility rule determines if a number is a multiple of 9?

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    A number is a multiple of 9 if the sum of its digits is divisible by 9.

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