AQA · Mathematics · 8300
GCSE Maths: Number: factors
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Number: factors (Corbettmaths Video 216), 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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What is a multiple of a number?
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A number that results from multiplying the given number by any whole number (e.g., multiples of 3 are 3, 6, 9, 12, ...).
What is a factor of a number?
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A whole number that divides exactly into the given number with no remainder (e.g., factors of 16 are 1, 2, 4, 8, 16).
What is a prime number?
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A whole number greater than 1 that has exactly two factors: 1 and itself.
Is 1 a prime number?
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No. A prime number must have exactly two factors (1 and itself), but 1 has only one factor.
Are all prime numbers odd?
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No. The number 2 is prime and even.
A number that is a multiple of both 4 and 9 must be a multiple of ?.
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36
How do you find the least common multiple (LCM) of two numbers?
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Find the smallest number that is a multiple of both numbers. This can be done by listing multiples or using prime factorization.
If a blue light flashes every 8 seconds and a red light flashes every 12 seconds, after how many seconds will they flash together?
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24 seconds (the least common multiple of 8 and 12).
What is the smallest number that has exactly four factors?
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6. Its factors are 1, 2, 3, and 6.
What is the divisibility rule for 9?
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A number is divisible by 9 if the sum of its digits is divisible by 9.
Are there more prime numbers between 30 and 40, or between 40 and 50?
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Between 40 and 50. There are three primes (41, 43, 47) versus two primes (31, 37) in the 30–40 range.
What conjecture states that every even number greater than 2 can be written as the sum of two prime numbers?
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Goldbach's conjecture. (It remains unproven but has been verified for very large numbers.)
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