LLL - Number
Factors of Even Numbers
Students list factor pairs, then count the total number of different factors. One question appears on each page.
Year 7
Build factors from factor pairs
Students complete 30 even-number factor questions. The first 5 are guided so the tree method can be modelled, then the next 25 are independent practice.
Example tree
Teaching sequence
List every factor pair before counting
A factor pair is two whole numbers that multiply to the target number. The pair tree helps students see the full list before they count.
1. Start with 1
Every whole number has the factor pair 1 x n. This gives the smallest factor and the largest factor.
2. Test the next whole numbers
For even numbers, 2 always works. Keep testing 3, 4, 5 and so on until the left side catches the right side.
3. Count each different factor once
For 10, the pairs are 1 x 10 and 2 x 5. The different factors are 1, 2, 5, 10, so there are 4 factors.
Classroom method
- Write the number at the top of the tree.
- List every factor pair in the boxes.
- Read the full factor list from smallest to largest.
- Count how many different factors there are.
Factors of 10
Fill every pair of boxes. The x is already placed between each pair.
Summary
Factor practice journal
Progress is recorded for the current browser and, during a live class session, sent to the teacher dashboard.