Factors & Multiples

The video tutorial explains the concepts of factors and multiples, highlighting their importance in mathematics, including their use in fractions, number patterns, and algebra. It describes multiples as the result of multiplying a number, akin to times tables, and factors as numbers that divide exactly into another number. The tutorial provides examples and practice questions, introduces the concepts of Lowest Common Multiple (LCM) and Highest Common Factor (HCF), and concludes with a brief overview of these concepts. Prime factorization is mentioned as a method for dealing with larger numbers, to be covered in a subsequent video.

What are multiples of a number?

• Numbers that divide exactly into another number

• The times tables of a number

• Numbers that are prime

• Numbers that are smaller than the given number

Which of the following is a factor of 12?

• 5

• 7

• 6

• 9

What does the lowest common multiple (LCM) represent?

• The sum of two numbers

• The smallest number that is a factor of two numbers

• The largest number that divides two numbers

• The smallest number that appears in the times tables of two numbers

How do you find the highest common factor (HCF) of two numbers?

• By listing all factors of both numbers and finding the largest common one

• By adding the two numbers

• By finding the smallest number in both times tables

• By multiplying the two numbers

What advanced method can be used for finding LCM and HCF of large numbers?

• Division

• Prime factorization

• Subtraction

• Addition