Overview
Master factors, multiples, and prime factorization. Learn rapid divisibility tests and calculate HCF and LCM to solve real-world grouping, sharing, and scheduling challenges with precision.
Syllabus
- Course 1: Foundations of Factors and Multiples
- Course 2: Divisibility Shortcuts
- Course 3: Breaking Numbers Into Primes
- Course 4: Finding the Highest Common Factor
- Course 5: Finding the Lowest Common Multiple
Courses
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You'll build fluency with factors, factor pairs, and multiples, and learn to classify whole numbers greater than 1 as prime or composite, while recognizing 1 as neither, — the essential foundation for all later work with divisibility and prime factorisation.
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You'll master quick divisibility tests for 2, 3, 4, 5, 6, 9, and 10 — learning to tell at a glance whether a number is divisible by any of these and understanding why each shortcut works in base ten.
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You'll learn to break any composite number into its prime factors using factor trees and repeated division, then express the result compactly and clearly using index notation.
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You'll identify common factors and determine the Highest Common Factor of two or more numbers using factor lists and prime factorisation, then apply HCF reasoning to practical equal-sharing and grouping problems.
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You'll find common multiples and the Lowest Common Multiple using listing and prime factorisation methods, apply LCM to repeating-cycle problems, and learn to choose confidently between HCF and LCM in any situation.