Find Missing Factors

Examples, solutions, videos, and worksheets to help Grade 4 students learn how to solve multiplication problems with missing factors.

How to find missing factors?

Factors are numbers that can be multiplied together to yield a given number as the result. In other words, factors are the numbers that evenly divide another number without leaving a remainder.

For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these numbers can be multiplied together to yield 12:
1 × 12 = 12
2 × 6 = 12
3 × 4 = 12

If you know some factors of a number, you can use division to find the missing factors. Divide the number by each known factor, and if the result is an integer, then the divisor and the quotient are both factors of the original number.
For example, if you know that 2 and 3 are factors of a number, you can divide the number by 2 and 3, and if the results are integers, then the missing factors would be the divisors and the quotients obtained from the divisions.

Have a look at this video if you need to review how to solve multiplication problems with missing factors.

• Missing Factors

Click on the following worksheet to get a printable pdf document.
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More Find Missing Factors Worksheets

Printable
Find Missing Factors Worksheet (eg. 12 = 6 x ___)
(Answers on the second page.)

Online
Missing Factor Worksheet

Generated
Multiplication Facts (1 to 5)
Multiplication Facts (1 to 10)

Find Missing Factors Word Problems

1. Sheila has 28 stickers to divide evenly among 3 friends. She thinks there will be no leftovers. Use what you know about factor pairs to explain if Sheila is correct.
   • Show Answer

     Sheila is not correct. There will be leftovers because 3 is not a factor 28.

2. Julie has 32 grapes to divide evenly among 4 friends. She thinks there will be no leftovers. Use what you know about factor pairs to explain if Julie is correct.
   • Show Answer

     Julie is right. There will be no leftovers because 4 is a factor of 32.

Related Lessons & Worksheets

Dividing Decimals Lesson

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.

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