Identify Multiples and Factors 2 - Reasoning

In this mathematical exercise, students are tasked with identifying multiples and factors as part of their learning in multiplication and division. The challenge involves working with two specific numbers: 56 and 72. Students are required to determine the factors of these numbers and organise them within a Venn diagram. The left section of the Venn diagram is reserved for factors unique to 56, where 28 and 56 are to be placed. The right section is for factors unique to 72, which include 6, 9, 18, 24, 36, and 72. The middle section, where the two circles of the Venn diagram intersect, is for factors that are common to both numbers; in this case, the number 8 is a shared factor and should be placed there.

The exercise also prompts students to determine the correct headings for the Venn diagram based on the given factors. The numbers provided (7, 2, 1, 12, 14, 3, and 4) are to be evaluated to see where they fit within the diagram. Additionally, students are encouraged to find one more number that would fit into each section of the Venn diagram, thereby deepening their understanding of factors and how they relate to the numbers 56 and 72. This reasoning activity not only reinforces their knowledge of multiplication and division but also enhances their problem-solving and critical thinking skills.