Factors and Multiples
Factors are numbers that divide evenly into another number, while multiples are the results of multiplying a number by whole numbers.
What You Need to Know
Key Concept Diagram
A factor of a number divides into it with no remainder (e.g. 3 is a factor of 12)
Every number has at least two factors: 1 and itself
A multiple of a number is found by multiplying it by 1, 2, 3, … (e.g. multiples of 4 are 4, 8, 12, 16 …)
Common factors and common multiples are shared by two or more numbers
Key Vocabulary
Factor
A whole number that divides exactly into another number with no remainder
Multiple
The product of a number and any whole number (e.g. 6, 12, 18 are multiples of 6)
Common factor
A factor shared by two or more numbers (e.g. 4 is a common factor of 8 and 12)
Divisible
A number is divisible by another if there is no remainder after dividing
Knowledge Check
Select the correct answer for each question. Click "Check Answer" to see if you are right.
Question 1
Which of the following is a factor of 24?
Question 2
What is the 5th multiple of 7?
Question 3
Which pair of numbers has 6 as a common factor?
Key Concepts Summary
- ●A factor of a number divides into it with no remainder (e.g. 3 is a factor of 12)
- ●Every number has at least two factors: 1 and itself
- ●A multiple of a number is found by multiplying it by 1, 2, 3, … (e.g. multiples of 4 are 4, 8, 12, 16 …)
- ●Common factors and common multiples are shared by two or more numbers