Max Maths, Year 5, Learn together, Divisibility facts

Divisibility facts are an essential part of the Year 5 mathematics curriculum, helping students understand how numbers can be divided by certain factors. By examining multiplication facts, children can learn to recognise patterns that indicate divisibility. For instance, when multiplying by 10, the sequence of products is 10, 20, 30, up to 100, and each result ends in a zero. This pattern reveals that any number ending in 0 is divisible by 10. Similarly, multiplication by 100 gives products like 100, 200, 300, and so on, each ending in double zeros ('00'), which suggests that numbers ending in '00' are divisible by 100.

Looking at the 2 times table, with products ranging from 2 to 20, the results end with the digits 0, 2, 4, 6, or 8. This pattern helps students deduce that numbers ending with any of these digits are divisible by 2. The 5 times table, yielding products from 5 to 50, shows that if a number ends in 0 or 5, it is divisible by 5. Understanding these patterns is crucial for recognising divisibility at a glance. For example, the number 10, which ends in 0, is divisible by 10, 5, and 2, and the same divisibility applies to the number 50. These facts are building blocks for more complex mathematical concepts and aid in developing number fluency.