### Math in its Prime…

A few years ago an old school textbook that H3 used explained that **1** was not a prime number “because of the Liquorice Factory”! The attached pdf is a great worksheet for students (and other readers of this blog) to examine the kind of machines that we need in order to produce liquorice in lengths from **1** –> **100**. For example, if we put length “**1**” of liquorice into the #**6** machine we will get out a length that = **6**. But, wait a minute! Surely there is no need for a machine of length #**1** since that is the length we start with? Therefore, the number** 1** is NOT prime???

But, what happens when the #**6** machine breaks down? Can we still produce a liquorice of length **6**? Yes, but only if we use the #**2** machine first, followed by the #**3** machine! So, how many machines do we really need to produce all the liquorice lengths from** 1** to **100**?

Click here for the full worksheet in pdf format:The liquorice factory

H3 confession: we did eat liquorice after posting this ðŸ™‚