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Master Factors and Multiples

Identify factors, multiples, and primes. Build number-theory fluency with instant feedback.

What are Factors and Multiples?

Divisors, multiples, and primes

A factor of n divides n exactly. A multiple of n is n times a whole number. A prime has exactly two factors: 1 and itself. These ideas underpin HCF, LCM, and fraction work.

1

Method

A factor of n divides n exactly.

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2

Practice

Work through easy, medium, and hard questions with instant feedback.

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Factors and Multiples Rules

Key steps

Follow the method

A factor of n divides n exactly. A multiple of n is n times a whole number. A prime has exactly two factors: 1 and itself. These ideas underpin HCF, LCM, and fraction work.

Easy and medium examples in practice
Hard examples in practice

Check your answer

Compare with the multiple-choice options and use inverse operations to verify.

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Factors and Multiples Examples

Worked examples

Basic Examples

Easy levelSe practice
Medium levelSe practice
Hard levelSe practice

Why Factors and Multiples Matters

A factor of n divides n exactly. A multiple of n is n times a whole number. A prime has exactly two factors: 1 and itself. These ideas underpin HCF, LCM, and fraction work.

Applications

Used in school exams, homework, and real-world number problems.

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Factors and Multiples Practice

Practice factors and multiples with easy, medium, and hard levels.

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Practice Hub

Related practice pages and uses.

Factors and Multiples Practice Hub