1. Arrange the digits from 1 to 9 in alphabetical order.
2. Memorise the large number you have created.
3. Close your eyes, can you remember it?
4. How many times can you halve this number (without a calculator) to give a whole number answer?
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What are the prime factors of this large alphabetical number?
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Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
Here is the URL which will take them to an activity about recognising prime numbers.
2^{9}×3^{3}×61843
Tip For Teacher
Most people don't know all of the wonderful things our calculators can do. There are just so many buttons and functions.
Do you have this strange FACT function on your calculator? Do you know what it does?
Type a number (48 is a good example) into the calculator then press the equals button.
Next press shift then this button with FACT written over it.
You should now see 2^{4} × 3 in the calculator display.
The function performed the prime factorisation of 48.
Very useful.
So this button can be used to find out if a number is a prime number as the prime factorisation function will return the original number.