Prime Factorisation, HCF, LCM (Extended Curriculum)

Introduction

Factors, Multiples and Primes
- GCSE Prime factorisation LCM, HCF
  - Ex1 - prime factor trees, prime factorisation of powers e.g. 6^5
  - Ex2 - HCF, LCM
  - Ex3 - using prime factorisation

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.

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, Multiples and Primes

Prime Factors HCF and LCM

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.

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