Prime Factorisation, HCF, LCM (Extended Curriculum)
Introduction
Fact cards - The Chalk Face
Practice
Factor Trees: Create factor trees to find the prime factors of the given numbers.
HCF and LCM: Practise finding the highest common factor (H.C.F), sometimes called the greatest common divisor, and the lowest common multiple (L.C.M) of two numbers.
Square and Cube Roots: Find square roots and cube roots by first calculating the prime factorisation of a number.
Divisibility Test: Practise using the quick ways to spot whether a number is divisible by the digits two to nine.
Number: factors Video 216 Practice Questions Textbook Exercise
Number: multiples Video 220 Practice Questions Textbook Exercise
Number: prime numbers Video 225 Practice Questions Textbook Exercise
Number: product of primes Video 223 Practice Questions Textbook Exercise
Number: product of primes (squares/cubes) Video 223a Practice Questions Textbook
Number: product of primes (LCM/HCF) Video 224 Practice Questions Textbook Exercise
Number: common factors/HCF Video 219 Practice Questions Textbook Exercise
Number: common multiples/LCM Video 218 Practice Questions Textbook Exercise
Factors Practice Strips (Editable Word | PDF | Answers)
Factor Bugs Activity (Editable Word | PDF | Answers)
Factors True or False (Editable Word | PDF | Answers)
Multiples Practice Strips (Editable Word | PDF | Answers)
Multiples True or False (Editable Word | PDF | Answers)
Factors, Multiples and Primes Practice Grid (Editable Word | PDF | Answers)
Factors, Multiples and Primes Decode the Joke (Editable Word | PDF | Answers)
Highest Common Factor Practice Strips (Editable Word | PDF | Answers)
Highest Common Factor Match-Up (Editable Word | PDF | Answers)
Highest Common Factor by Listing Fill In The Blanks (Editable Word | PDF | Answers)
Lowest Common Multiple Practice Strips (Editable Word | PDF | Answers)
Lowest Common Multiple Match-Up (Editable Word | PDF | Answers)
Lowest Common Multiple by Listing Fill In The Blanks (Editable Word | PDF | Answers)
Prime Numbers Crack the Code (Editable Word | PDF | Answers)
Prime Factors and Factor Trees Practice Strips (Editable Word | PDF | Answers)
Prime Factor Decomposition with Factor Trees Fill in the Blanks (Editable Word | PDF | Answers)
More Prime Factor Decomposition with Factor Trees Fill in the Blanks (Editable Word | PDF | Answers)
Prime Factor Decomposition Practice Strips (Editable Word | PDF | Answers)
LCM and HCF Practice Strips (Editable Word | PDF | Answers)
LCM and HCF Using Repeated Division Fill In The Blanks (Editable Word | PDF | Answers)
LCM and HCF Using Venns Fill In The Blanks (Editable Word | PDF | Answers)
Using Venns for HCF and LCM Problems Practice Strips (Editable Word | PDF | Answers)
LCM and HCF Crack the Code (Editable Word | PDF | Answers)
LCM and HCF from Prime Factorisation Practice Strips (Editable Word | PDF | Answers)
Factors, Multiples and Primes Revision Practice Grid (Editable Word | PDF | Answers)
Factors and Multiples (answers) - @taylorda01
Product of Prime Factors (answers) - @taylorda01
Extension
Consecutive Chains Puzzle - MathsPad
Types of numbers from prime factors - Craig Barton
HCF and LCM worded problems - Median Don Steward
Given the LCM and HCF - Median Don Steward
LCM and HCF Generalising - Median Don Steward
Algebraic HCF: Exercises providing practice finding the highest common factor of algebraic expressions.
Algebraic LCM: Exercises providing practice finding the lowest common multiple of algebraic expressions.
Factor Pairs: Find the factor pairs of the given numbers and arrange them in order.
Flabbergasted Game: This game for one or two players is an exciting challenge to demonstrate an understanding of factors and multiples.
How Many Factors?: Work out the number of factors a number has then write them all as a list.
Product Square: Arrange the given numbers in a three by three grid to obtain the diagonal, row and column products.
Satisfy: Place the nine numbers in the table so they obey the row and column headings about the properties of the numbers.
Doughnut Dissection: A puzzle to find four different ways of making 900 by multiplying together three different numbers.
Delightfully Divisible: Arrange the digits one to nine to make a number which is divisible in the way described.
Other Resources
Prime Factor decomposition activity - The Chalk Face
Prime factorisation problems - Boss Maths
Prime number quiz - happymathematician on TES
Factors, Multiples and Primes - deselby on TES
Number families presentation - Mr Thompson on TES
Prime factor tree puzzles - Mr Thompson on TES
Semiprimes investigation - Mr Thompson in TES
Prime Factor Decomposition Logical Puzzle - MrMawson on TES