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**tony123****Member**- Registered: 2007-08-03
- Posts: 195

Prove that if the difference of the integers a, b is divisible by 100, then

is divisible by 10 000.

*Last edited by tony123 (2007-11-16 09:14:42)*

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Well:

QED

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

**In general:**

If the difference of the integers *a*, *b* is divisible by *m*, then

is divisible by *m*[sup]2[/sup].

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