Factors Worksheets

There are six sets of factors & multiples worksheets:

• Factors
  
• Prime Factorization
  
• Greatest Common Factor
  
• Multiples
  
• Least Common Multiple
  
• LCM and GCF
  

Examples, solutions, videos, and worksheets to help Grade 4 students learn how to find the factors and prime factors of a number.

How to find the factors of a number?

There are three sets of factors worksheets.

• Factors (List all the factors).
• Factors (Include prime numbers).
• Factors (List the prime factors).

The factors of a number are the whole numbers that can be multiplied together to produce that number. In other words, factors are the numbers that evenly divide another number without leaving a remainder. Here’s how you can find the factors of a number:

1. Start with 1 and the number itself: Every number has 1 and itself as factors. For example, for the number 12, the factors are 1 and 12.
2. Check for other factors: To find the remaining factors, you can systematically check for whole numbers that evenly divide the number. Start with 2 and continue checking larger numbers until you’ve found all the factors.

Example: Find the factors of 12.
1 and 12 are already known factors.
Try 2:
12÷2=6. Since there’s no remainder, 2 is a factor of 12.
Try 3:
12÷3=4. Again, no remainder, so 3 is a factor of 12.
Try 4:
12÷4=3. Once more, no remainder, so 4 is a factor of 12.
Try 5:
12÷5 leaves a remainder, so 5 is not a factor.
Try 6:
12÷6=2. No remainder, so 6 is a factor.
Since 7 and any higher numbers are greater than half of 12, you don’t need to check them because you’ve already found all the factors.
So, the factors of 12 are 1, 2, 3, 4, 6, and 12.

To summarize, factors are numbers that can be multiplied together to get the original number. When finding factors, you can start with 1 and the number itself, and then systematically check for other factors by dividing the number by increasing integers until you’ve checked up to the square root of the number or until you find all factors.

Have a look at this video if you need to review how to find the factors of a number.

• Finding the factors of a number

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Factors Worksheets.

 

More Factors Worksheets

Printable
(Answers on the second page.)
Factors Worksheet #1 (List all the factors)
Factors Worksheet #2 (Include prime numbers)
Factors Worksheet #3 (Is it a factor?)
Prime Factors Worksheet (List the prime factors)

Online
Prime & Composite Numbers up to 10
Prime & Composite Numbers up to 20

Find Missing Factor
Greatest Common Factor
GCF or HCF

GCF and LCM Word Problems

Related Lessons & Worksheets

Factors & Multiples

More Printable Worksheets

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.