
The table to the left highlights all the prime numbers between 1 and 100.
Any number can broken down into its prime factors. A good way to do this is to make a factor tree, then the number can be written as a prime factorisation, for example:
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Summary/Background

The diagram on the right is a factor tree, showing the prime factors of 12 to be 2 and 3. Notice that 12 = 2 x 2 x 3. In this way 12 has been expressed as a product of its prime factors.
Software/Applets used on this page
Glossary
factorisation
The process of expressing a term as a product of factors.
function
A rule that connects one value in one set with one and only one value in another set.
prime
a positive integer which is divisible only by itself and 1
speed
velocity without direction; a scalar quantity
tree
A connected graph with no cycles.
union
The union of two sets A and B is the set containing all the elements of A and B.
This question appears in the following syllabi:
Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|
AQA GCSE (9-1) Foundation (UK) | N: Structure and Calculation | N4: Factors and Multiples | Prime Numbers | - |
CBSE X (India) | Number Systems | Real Numbers | Fundamental theorem of arithmetic | - |
CIE IGCSE (9-1) Maths (0626 UK) | 1 Number | B1.1 Understanding Numbers | Prime Numbers | - |
Edexcel GCSE (9-1) Foundation (UK) | N: Structure and Calculation | N4: Factors and Multiples | Prime Numbers | - |
GCSE Foundation (UK) | Number | Arithmetic | Prime numbers | - |
OCR GCSE (9-1) Foundation (UK) | 1: Number Operations and Integers | 1.02b: Prime Numbers | Prime Numbers | - |
Universal (all site questions) | A | Arithmetic | Prime numbers | - |