Max Maths, Year 6, Work Book, Factors and multiples

In the Max Maths Year 6 Workbook, students delve into the concepts of factors and multiples through a series of engaging practice activities. Practice 3 begins with an exercise where pupils list the factors of given pairs of numbers and identify the common factors by circling them. The task is to determine the highest common factor (HCF) for each pair. For instance, students find the HCF of 18 and 20, and similarly for 30 and 40, by comparing their factors. The exercise extends to finding the HCF for sets of three numbers, such as 12, 24, and 28, and another set comprising 16, 48, and 80, where students must list all factors, circle the common ones, and choose the highest among them.

The workbook continues to challenge students with finding the HCF of various other number combinations, requiring them to show their working. Numbers like 32 and 46, 36 and 54, and even groups of three numbers such as 26, 42, and 64 are used to test their understanding of factors. Additionally, students are tasked with listing the first eight multiples of different pairs of numbers to then identify the lowest common multiple (LCM). Examples include finding the LCM of 2 and 6, 3 and 7, 2 and 10, and more challenging pairs like 8 and 12, and 5 and 7. Finally, the workbook provides a multiplication table where students circle multiples of certain numbers, such as 6 and 9, or 12 and 15, and then colour the common multiples to visually discern the LCM for each pair. This comprehensive practice ensures that pupils develop a strong grasp of factors and multiples, essential components of their mathematical foundation.