Here is a six rod, with a mat pattern beneath.

Each line of the pattern can only have rods of the same colour. Only ‘same-coloured’ rods that fit the 6 are allowed this time and for this reason:

These same- coloured rods are **FACTORS** of 6… (2 and 3 are factors of 6)

6 is called the **PRODUCT**

The towers to the right say ‘three twos’ and ‘two threes’. They are ‘crossed rods’ and we read them as multiplications. They are equivalent to the line of red rods and the line of green rods to the left.

They are** DUST**

They are** FACTOR TOWERS **in their simplest form

They show the **ATOMS** of 6, if you like…

The **INNER STRUCTURE** of 6

6 can be re-constructed from this **DUST** in **EVERY **(multiplicative) **WAY **

The **TOWER OF DUST** shows the **INNER STRUCTURE** of the **NUMBER **6

(in the multiplicative domain)

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