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Missing factor problems (solve by long division)

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Free printable missing factor problems (solve by long division) worksheets for 5th grade. Students use long division to find an unknown factor in a multiplication equation, connecting division to its inverse relationship with multiplication. Develops flexible thinking for equation solving. Part of our multiplication division worksheets collection.

What You'll Learn

  • Solve for a missing factor by applying long division
  • Set up and execute long division to find unknown factors
  • Verify the missing factor by multiplying back to check

FAQ

How does long division help 5th graders find a missing factor?

If ___ × 24 = 1,872, students divide 1,872 ÷ 24 = 78 using long division to find the missing factor — applying the inverse relationship between multiplication and division.

Why is connecting missing factor problems to long division important in 5th grade?

It reinforces that division is the inverse of multiplication, deepens understanding of how multiplication equations can be solved, and previews the algebraic manipulation students will use in 6th grade.

What real-world contexts use missing factor problems solved by division?

Finding how many items fit per row if the total and number of rows is known, or determining the price per unit given total cost and quantity, are natural applications of this reasoning.

Grade
5th Grade
Ages
Ages 10-11
Subject
Math
Format
Printable PDF

Ratings & Reviews

3

David L.

2nd Grade Teacher · Verified download

May 2026

Looking forward to this! All the other ClassWeekly worksheets are excellent so I know this will be too.

Helpful · 8

Jamie T.

1st Grade Teacher · Verified download

Apr 2026

Thanks for creating this! I'll be using it the moment it's available.

Helpful · 4

Emily W.

Homeschool parent · Verified download

May 2026

Excited for this one! I've been hunting for a good printable on this topic for weeks.

Helpful · 9

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