Tutorial

GCSE Maths: Factors, Multiples, and Primes

Define and identify factors, multiples, and prime numbers. Learn to use prime factor decomposition to find the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of two numbers.
A close-up photograph of a child's hands using colorful wooden blocks to build a tower, some blocks have prime numbers written on them, like 2, 3, 5, and 7. The lighting is warm and inviting, suggesting a playful learning environment.

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Deck Contents

30 Cards
Lesson#1
Welcome to this deck on the building blocks of numbers. We'll explore factors, multiples, and prime numbers. You'll also learn a powerful technique called prime factor decomposition, which we can use to find the Highest Common Factor and Lowest Common Multiple of any two numbers. Let's begin.
Lesson#2
First, let's talk about factors. A factor is a whole number that divides exactly into another whole number, leaving no remainder. For example, the factors of 12 are one, two, three, four, six, and twelve. Each of these numbers divides into 12 perfectly.
Quiz#3
What is the term for a whole number that divides exactly into another number with no remainder?

factor

Quiz#4
Which number is a factor of every whole number?

one

Lesson#5
Next up are multiples. A multiple of a number is what you get when you multiply it by another whole number. Think of them as the numbers in a times table. For example, the multiples of three are three, six, nine, twelve, and so on.
Quiz#6
What is the term for a number that appears in another number's times table?

multiple

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