4th Grade Math · Factors and Multiples
Is it a factor? Worksheets
Fresh practice, ready to print. Answer key included.
Questions such as whether 6 is a factor of 42. The answer is yes or no.
Make it yours
Or start with a ready-made version.
How it works: a quick refresher
The rules this worksheet practices, then one problem worked from start to finish.
| Strategy | How it works |
|---|---|
| A factor divides evenly | 6 is a factor of 42 because 42 ÷ 6 = 7, with nothing left over. 5 is not, because 42 ÷ 5 leaves a remainder. |
| 1 and the number itself count | Every whole number greater than 1 has at least 1 and itself as factors. The factors of 12 are 1, 2, 3, 4, 6, 12. |
| List factors in order | Start at 1 and stop at the number. Do not skip a factor, and do not write the same one twice. |
| Multiples count by the number | The first five multiples of 4 are 4, 8, 12, 16, 20. The number itself is the first multiple. |
| Prime has exactly two factors | A prime number has only 1 and itself. 7 is prime. 9 is composite because 1, 3 and 9 are factors. 1 is neither. |
Worked example
List all the factors of 12.
- 112 = 2 × 2 × 3.
- 2The pairs are 1 and 12, 2 and 6, 3 and 4.
- 3In order, the factors are 1, 2, 3, 4, 6, 12.
Ready-made versions
Three fixed versions you can link to or share. Each is a PDF with its own answer key.
- Is it a factor? Worksheets, version 1Worksheet PDFAnswer key PDF
- Is it a factor? Worksheets, version 2Worksheet PDFAnswer key PDF
- Is it a factor? Worksheets, version 3Worksheet PDFAnswer key PDF
Grade level and standard
Written for 4th grade math (operations) and aligned to CCSS 4.OA.B.4. It also works as review in later grades.
Common questions
- Is there an answer key?
- Yes. Every worksheet has a matching answer key with each answer worked on the same grid or layout as the question. The worksheet code printed at the bottom of each page pairs a sheet with its key.
- Why is 1 not prime or composite?
- A prime number has exactly two different factors, 1 and itself. 1 has only one factor, so it is neither. These sheets start at 2.
- Is 4 a multiple of 4, or does the list start at 8?
- 4 is the first multiple of 4. The first five are 4, 8, 12, 16 and 20.
- How many different versions are there?
- About a million per skill. Each time you press the button the problems are generated fresh, so you can print a different version for every student, a retake, or another night of practice.
- Are the worksheets free?
- Yes. They are free to print and copy for your home or classroom, with no sign-up.
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