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Identify Common Factors, Multiples and Prime Numbers

In this worksheet, students will use their knowledge of common factors, multiples and prime numbers to answer a variety of questions.

Worksheet Overview

In this activity, you will need to have an understanding of common factors, multiples and prime numbers.


Common factors:


Common factors or factors are numbers that we multiply together to make another number. 

When we find the factors of two or more numbers and then find some factors are the same (common) then they are called common factors.


Example: 12 and 16

Factors of 12: 1, 2, 3, 4, 6 and 12

Factors of 16: 1, 2, 4, 8 and 16


So the common factors of 12 and 16 are 1, 2 and 4.

The highest common factor of two numbers is the largest whole number which is a factor of both. 

The highest common factor of 12 and 16 is 4.




On multiplying a number, by counting numbers, gives us it's multiples. 

A common multiple is a whole number that is a shared multiple of sets of numbers. 



Multiples of 3 and 4;

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40


The common multiples of 3 and 4 are: 12 and 24.


Prime Numbers:


A prime number is a number only divisible by itself and 1.


Example: prime numbers between 10 and 30.

Answer: 11, 13, 17, 19, 23, 29.


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