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Learn: Factors, Multiples, Primes, HCF, and LCM
OCR GCSE Mathematics J560
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Welcome!Today we’re learning about factors, multiples, primes, HCF (highest common factor), and LCM (lowest common multiple). These concepts are key for solving problems in number theory and arithmetic.
What are factors?Factors are numbers that divide exactly into another number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.
Quick check: What are the factors of 15?
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What are multiples?Multiples are the result of multiplying a number by integers. For example, the multiples of 3 are 3, 6, 9, 12, 15, and so on.
The multiples of 4 are {{blank0}}, {{blank1}}, {{blank2}}, and so on.
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What are prime numbers?A prime number is a number greater than 1 that has only two factors: 1 and itself. For example, 2, 3, 5, 7, and 11 are all primes.
Which of these is a prime number?
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Highest Common Factor (HCF)The highest common factor (HCF) is the largest number that divides two or more numbers exactly. For example, the HCF of 12 and 18 is 6.
Lowest Common Multiple (LCM)The lowest common multiple (LCM) is the smallest number that is a multiple of two or more numbers. For example, the LCM of 4 and 5 is 20.
Match the items on the left with their correct pairs on the right
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Review Time!Great work! You've learned about factors, multiples, primes, HCF, and LCM. Let's test your understanding with a few final questions.
Which of the following numbers are prime? (Select all that apply)
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Match the items on the left with their correct pairs on the right
Start the lesson to answer this math equation question
Match the items on the left with their correct pairs on the right
Start the lesson to answer this math equation question
Quick check: Which is the largest factor of 18?
Start the lesson to answer this multiple choice question
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