Math
Confusing Factors and Multiples
A student calls a factor of because .
Quick check
Why students make it
Students often see multiplication and think both numbers in the fact are factors of each other. They mix up the number that divides evenly with the bigger list of skip-counting answers.
The rule done right
A factor divides a number evenly. If , then and are factors of , and is a multiple of and .
Related resources
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Math, Greatest Common Factor and Least Common Multiple Infographic -
Math, Divisibility Rules Infographic -
Math, Prime and Composite Numbers Infographic -
Math, Prime Factorization Infographic -
Counting in Groups Infographic - Factors, Multiples & Prime Factorization Cheat Sheet
- Number Theory Basics Cheat Sheet
- Greatest Common Factor & Least Common Multiple Cheat Sheet
- Multiples, Factors, and Prime Numbers Worksheet
- Math, Prime Factorization Trees Worksheet
- Math, Number Theory, GCD, LCM, and Modular Arithmetic Worksheet
- Math, Number Lines and Skip Counting Worksheet
- Skip Counting by 2s 5s and 10s Worksheet
- Factors & Multiples Playground Tool
- Prime Factorization & Sieve Visualizer Tool
- Factor Tree & GCF/LCM Calculator Tool
- Multiplication Arrays & Equal Groups Builder Tool