About this worksheet
Factors and multiples help students see multiplication as relationships between whole numbers is a major fourth-grade math step because students now work with larger numbers, multi-step reasoning, and more precise notation. Students may confuse the two directions: factors make a number exactly, while multiples are what you get by counting by that number. This worksheet gives short, self-checking questions that rotate through the parts of the skill instead of repeating one template. Students identify factors and multiples, test divisibility, build factor pairs, distinguish prime and composite numbers, and connect arrays to multiplication relationships. Support versions keep the numbers friendlier while preserving the same reasoning. Standard and challenge versions add larger values, closer distractors, or an extra comparison step. Encourage your child to write down the place, operation, or unit before calculating. If an answer is close but does not match the requested place value, fraction denominator, or measurement unit, it is probably the trap answer.
What your child will learn
- Find factors
- Find multiples
- Use factor pairs
- Recognize prime and composite numbers
- Connect arrays to factors
Worked example
6 is a factor of 42 because 6 x 7 = 42. A multiple of 6 is a number such as 42 or 48.
Common mistake
Calling 8 a factor of 30 because it is near a factor, even though it does not divide evenly.
Helpful hint
A factor divides the number with no remainder.