Factors
JamWise Education Team·Updated March 2026
Definitions by grade level
Numbers that multiply together to make another number. 3 and 4 are factors of 12.
Numbers that are multiplied together to get a product. The factors of 12 are 1, 2, 3, 4, 6, and 12.
Learning context
In 4th grade math, students encounter "factors" as part of building numerical and spatial reasoning skills. At the upper elementary level, learners develop the ability to connect abstract mathematical concepts to concrete, everyday situations. Understanding this term helps students communicate their mathematical thinking with precision and builds a foundation for more advanced problem-solving in later grades.
Why music helps students learn vocabulary
Research consistently shows that pairing vocabulary instruction with music improves both recall and long-term retention. When students hear a term like "factors" embedded in a memorable melody, their brains form stronger associative connections between the word, its meaning, and the emotional context of the song.
JamWise leverages this science by generating curriculum-aligned songs for every K-8 topic. Rather than drilling definitions from a word list, students encounter terms naturally within lyrics, absorbing meaning through context and repetition. Teachers report that students who learn vocabulary through JamWise jams retain terms significantly longer than those using traditional flashcard methods.
Related vocabulary
Factor pair
Two numbers that multiply together to make a given product. 3 and 4 are a factor pair of 12.
Factor
A whole number that divides evenly into another number. The factors of 12 are 1, 2, 3, 4, 6, and 12.
Composite number
A whole number greater than 1 that has more than two factors. 12 is composite because 1, 2, 3, 4, 6, and 12 all divide into it.
Prime number
A whole number greater than 1 that has exactly two factors: 1 and itself. 2, 3, 5, 7, and 11 are prime numbers.
Mixed number
A number made up of a whole number and a fraction together. 2 and 3/4 is a mixed number.
Area model
A rectangle drawing used to model multiplication, where the length and width represent factors and the inside area represents the product.
Fraction on a number line
A fraction shown as a point on a number line between whole numbers.
Multi-digit number
A number with two or more digits, like 47, 385, or 1,024.