Lesson objective: Understand that a whole number is a multiple of its factors.

Students bring prior knowledge of using multiplication and division to solve word problems from 3.OA.A.3. This prior knowledge is extended to factors and multiples as students determine relationships between whole numbers. A conceptual challenge students may encounter is the connection of factors to multiples. For example, students will need to understand that many factors share the same multiple, but will not have all of the same multiples.

The concept is developed through exploring making copies of numbers, which relates multiples and factors to work in third grade with multiplication.

This work helps students deepen their understanding of equivalence because multiples are equal to the product of their factor pairs.

Students engage in Mathematical Practice 7 (look for and make use of structure) as they begin to notice the pattern of multiples and the relationship between factors and multiples.

**Key vocabulary:**

- factors
- multiples