Step-by-Step Lesson

Learn: Factors, Multiples, and Prime Numbers

iGCSE Mathematics

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Steps in this lesson (18)

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Welcome!Today, we'll explore factors, multiples, and prime numbers. These concepts are fundamental in mathematics and help us understand number relationships better. Let's dive in!

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What are Factors?Factors are numbers that divide exactly into another number without leaving a remainder. For example, the factors of 6 are 1, 2, 3, and 6 because 6 ÷ 1 = 6, 6 ÷ 2 = 3, 6 ÷ 3 = 2, and 6 ÷ 6 = 1.

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Multiple ChoiceInteractive

Quick check: What are the factors of 12?

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What are Multiples?Multiples are numbers that result from multiplying a given number by whole numbers. For example, the multiples of 4 are 4, 8, 12, 16, and so on.

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Multiple ChoiceInteractive

Quick check: Which of the following is a multiple of 5?

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What are Prime Numbers?Prime numbers are numbers 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.

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MatchingInteractive

Match the items on the left with their correct pairs on the right

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Finding the Highest Common Factor (HCF)The Highest Common Factor (HCF) is the largest number that is a factor of two or more numbers. For example, the HCF of 12 and 18 is 6.

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Fill in the BlankInteractive

The HCF of 16 and 24 is {{blank0}}.

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Finding the 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 6 is 12.

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Multi-SelectInteractive

Which of the following are multiples of 3? (Select all that apply)

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Prime FactorisationPrime factorisation involves breaking a number into its prime factors. For example, 18 can be written as 2 × 3 × 3.

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Math EquationInteractive

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, prime numbers, HCF, LCM, and prime factorisation. Now let's test your understanding with a few questions.

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Multiple ChoiceInteractive

Which of the following is a prime number?

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Multi-SelectInteractive

Which of the following are factors of 24? (Select all that apply)

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Math EquationInteractive

Match the items on the left with their correct pairs on the right

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Well Done!You did a fantastic job learning about factors, multiples, and prime numbers. Keep practising to strengthen your skills even more!

Genie

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