Multiple of 999 can be Split into Groups of 3 Digits which Add to 999/Mistake

Source Work

 * The Dictionary
 * $999$
 * $999$


 * The Dictionary
 * $999$
 * $999$

Mistake

 * In fact, any multiple at all of $999$ can be separated into groups of $3$ digits from the unit position, which when added will total $999$. The same principle applies to multiples of $9 \quad 99 \quad 9999$ and so on.

Correction
Not every multiple of $999$, $9$, $99$ and so on.

The simplest counterexamples are:

This mistake is repeated in a slightly different form on the page $142,857$.