7th Grade Math · Multiplying and Dividing Integers
Three factors Worksheets
Free and printable, with a full answer key. Every worksheet is generated fresh, so you can hand a different version to every student.
Products such as −2 × 3 × (−5), where the number of negatives decides the sign.
Or start with a ready-made version:
How it works: a quick refresher
For the adult at the table. These are the rules the worksheet practices, followed by one problem worked from start to finish.
| Strategy | How it works |
|---|---|
| Same signs: positive | −8 × (−4) = 32, and −32 ÷ (−4) = 8. |
| Different signs: negative | −7 × 6 = −42, and 42 ÷ (−7) = −6. |
| Count the negatives | With several factors, an even number of negatives gives a positive answer and an odd number gives a negative. |
| Size first, then sign | Work out the answer as if both numbers were positive, then apply the sign rule. |
Worked example
Find −2 × 3 × (−5).
- Multiply the sizes: 2 × 3 × 5 = 30.
- Count the negatives: there are two, an even number.
- An even number of negatives makes the answer positive.
- −2 × 3 × (−5) = 30.
Ready-made versions
Three fixed versions you can link to or share. Each is a PDF with its own answer key.
- Three factors Worksheets, version 1Worksheet PDFAnswer key PDF
- Three factors Worksheets, version 2Worksheet PDFAnswer key PDF
- Three factors Worksheets, version 3Worksheet PDFAnswer key PDF
Grade level and standard
Written for 7th grade math (number system) and aligned to CCSS 7.NS.A.2. 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 ID printed at the bottom of each page pairs a sheet with its key.
- Why is a negative times a negative positive?
- One way to see it: multiplying by −1 flips a number to the other side of zero. Doing that twice brings it back to the positive side.
- Do the division problems have remainders?
- No. Every division problem comes out to a whole number.
- 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.