Factors and multiples worksheets
Aligned with Common Core 4.OA.B.4
Printable fourth-grade factors and multiples worksheets and how-to teaching pages: factor pairs, is it a factor, prime or composite, listing multiples, a prime number hundred chart, and factor or multiple.
The worksheets
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How to Find Factor Pairs
Every rectangle that 24 tiles can make, and finding the factor pairs of 24 in order until they repeat.
Factor Pairs
Numbers with lots of factors to find every factor pair for, plus an occasional prime. Fewer uses numbers to 36, Standard to 64 and More to 100.
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How to Tell If a Number Is a Factor
Worked examples like "Is 7 a factor of 63?" and divisibility tips for 2, 3, 4, 5, 9 and 10, each with an example.
Is It a Factor?
Questions like "Is 7 a factor of 63?" with a multiplication to finish when the answer is yes.
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How to Tell Prime from Composite
7 and 12 shown with tile rectangles, plus why 1 is neither prime nor composite, why 2 is the only even prime, and the primes under 50.
Prime or Composite?
Cards with numbers to sort as prime or composite, with a line to write a factor pair. Fewer uses numbers to 30, Standard to 60 and More to 100.
Find the Primes
A hundred chart to cross out multiples of 2, 3, 5 and 7 until only the prime numbers are left. Fewer uses 1 to 50.
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How to Find Multiples
The first ten multiples of 6, testing whether 84 is a multiple, and how factors and multiples go together in 6 × 4 = 24.
Multiples
Rows to list the first ten multiples of a number, then decide if a bigger number is also a multiple. More uses numbers up to 12.
Factor or Multiple?
Sentences like "6 is a ___ of 54" to finish with factor or multiple. More adds neither.
Print the whole packet
One copy of every sheet above, in order. Tap + for more copies (up to 10).
For the parent or teacher
What it is
Factors are numbers that multiply to make another number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. Multiples are what you get when you skip count, like 6, 12, 18 and 24. A prime number has exactly two factors, 1 and itself, and a composite number has more than two. Fourth graders find factor pairs for numbers up to 100 and sort them as prime or composite.
What comes next
Equivalent and comparing fractions, where factors and multiples help find equal fractions.
How to teach it
- Build rectangles with tiles. Every rectangle you can make for 12 shows a factor pair.
- Find factor pairs in order, starting with 1, so none are missed. Stop when the pairs start to repeat.
- Skip count out loud to list multiples.
- Connect the two ideas. If 6 is a factor of 24, then 24 is a multiple of 6.
- Use the divisibility tips for 2, 3, 5, 9 and 10 to test numbers quickly.
Common mistakes
- Missing a factor pair, especially in the middle, like 4 × 6 for 24.
- Calling 1 a prime number. It has only one factor, so it is neither prime nor composite.
- Thinking every odd number is prime, like 9, 15 or 21.
- Mixing up the words factor and multiple.