Identify Multiples and Factors 5 - Reasoning

In a mathematics lesson focused on multiplication and division, students are tasked with reasoning exercises to identify multiples and factors. The activity presents a series of calculations where one factor is the constant number 3, and students are required to find the missing factors that, when multiplied by 3, result in the given products. The answer key provided states that 13, 19, 7, and 15 are the missing factors which, when multiplied by 3, yield the products 39, 57, 21, and 45 respectively.

The exercise is designed to reinforce the concept of factors—numbers that can be multiplied together to produce a given product. Students are given the product of a multiplication equation and must deduce the missing factor that complements the known factor of 3. This activity not only strengthens their multiplication skills but also enhances their problem-solving abilities as they work through the process of finding the missing numbers. The repetition of the structure in the problems serves to build confidence and proficiency in identifying factors within multiplication equations.