Master integer properties and prime decomposition with this High School Mathematics worksheet! Covers finding factors and multiples, identifying prime numbers, prime factorisation in index form, calculating highest common factors (HCF) and lowest common multiples (LCM), counting factors using exponent rules, solving real-world periodic flashing and grouping problems, and answer key.
What is Included:
Section A: Concept Check: Evaluates foundational definitions of factors, multiples, prime numbers, HCF, LCM, index notation for prime products, and explaining why 1 is excluded from prime numbers.
Section B: Prime Factorisation: Focuses on constructing prime factor trees, writing composite numbers as products of prime factors in index form, and testing primality.
Section C: HCF and LCM: Guides students through calculating highest common factors and lowest common multiples using listing, prime factor comparisons, and Venn diagram methods.
Section D: Divisibility Tests: Covers applying divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10 to test large integers efficiently.
Section E: Counting Factors: Focuses on using prime factorisations and exponent increment rules to determine the total number of factors of an integer without listing every factor.
Section F: Applications and Challenge: Features multi-step contextual word problems, including synchronized lighthouse flash intervals, optimal bead bag packaging, and multi-bell interval synchronization.
Teacher Benefits:
Ready to Print & Go: Zero prep required. Excellent for structured classroom instruction, targeted homework assignments, independent practice, sub plans, or unit assessment preparation.
Complete Solutions Included: Comes with a fully worked answer key detailing conceptual checks, step-by-step prime factorisations in index form, HCF/LCM derivations, and word problem solutions.
Scaffolded & Comprehensive: Progresses logically from basic vocabulary and factor listing to prime decomposition, divisibility tests, exponent counting techniques, and multi-step real-world applications.
Something went wrong, please try again later.
This resource hasn't been reviewed yet
To ensure quality for our reviews, only customers who have purchased this resource can review it
Report this resourceto let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.