Multiplication · Grade 4

Factors and Factor Pairs Word Problems

Teach factor pairs by arranging a fixed collection into complete rows.

4 problemsAnswer key includedPrintable worksheetA4 & US Letter

Teaching notes for parents and teachers

How to teach it

Make different arrays without adding or removing counters. Record each row size and its matching number of rows.

Example to work through together

Use the model below as you explain the example. Have your student point to the quantities as you discuss them.

1 row of 121 × 12 = 12
2 rows of 62 × 6 = 12
3 rows of 43 × 4 = 12

Turn each arrangement to see 12 rows of 1, 6 rows of 2, and 4 rows of 3.

Possible counts per row: 1, 2, 3, 4, 6, 12

These are six possible row sizes. There are three factor pairs when reversed pairs are counted only once.

Ask your student

How do we know we have found every factor pair?

If your student needs help

If a proposed factor leaves counters over, check it by making the rows or dividing.

Make a practice set

Select the worksheet, answer key, or both. When both are selected, the answer key prints after the questions. Keep it separate if you want your student to work independently.

Print materials

After your student finishes

Check that the child found every row size, not just one arrangement. Accept a correct list in any order; use factor pairs to look for missing partners.

More about multiplication · Grade 4 worksheets

Grade 4 selected skill connection: Selected 4.OA.B.4: find factors and factor pairs for totals 2–100 through equal-row arrangements. See the Common Core standards for this grade. This worksheet does not cover every requirement in the standard.