Constant Counting

You can make a calculator count for you by any number you choose. You can count by ones to reach 24. You can count by twos to reach 24. What else can you count by to reach 24?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative


You can make a calculator count for you by pressing the keys

$1 + = = $

$1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12$

To make it count by twos, press $2 + = = $

$2, 4, 6, 8, 10, 12$

You can make it count by any number you choose.

Now the question:

You can count by ones to reach $24$.

You can count by twos to reach $24$.

What else can you count by to reach $24$?