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Learn: Factors, Multiples, Primes, HCF, and LCM
OCR GCSE Mathematics J560
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Welcome!Today we'll explore Factors, Multiples, Primes, HCF, and LCM. These are key concepts in number work and understanding them will help with solving many mathematical problems. Let's get started!
What are Factors?Factors are numbers that divide exactly into another number, leaving no remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12 because these numbers divide 12 without leaving a remainder.
Quick check: Which of the following numbers is NOT a factor of 18?
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What are Multiples?Multiples are the result of multiplying a number by other whole numbers. For instance, multiples of 5 include 5, 10, 15, 20, and so on because they are obtained by multiplying 5 by 1, 2, 3, etc.
Match the items on the left with their correct pairs on the right
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What are Prime Numbers?Prime numbers are numbers greater than 1 that have exactly two factors: 1 and themselves. For example, 7 is a prime number because it can only be divided by 1 and 7.
Which of these numbers is a prime number?
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What is the HCF?The Highest Common Factor (HCF) of two or more numbers is the largest number that divides all of the numbers without leaving a remainder. For example, the HCF of 12 and 18 is 6.
The HCF of 16 and 24 is {{blank0}}.
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What is the LCM?The Lowest Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of all the given numbers. For instance, the LCM of 4 and 6 is 12.
Which of the following are multiples of 12? (Select all that apply)
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Review Time!Great work! You've learned about Factors, Multiples, Primes, HCF, and LCM. Now let’s test your understanding with a few final questions!
Which of the following is a factor of 30?
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Match the items on the left with their correct pairs on the right
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A prime number has exactly {{blank0}} factors.
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Which of the following are correct about factors? (Select all that apply)
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