
Although the number theory rules don't give an exact answer they do help make math work less time consuming. In school I hated playing around with numbers to figure out if a certain number can divide into another number. Now I have a way to do that quicker.
Learning these number rules takes practice. Students should not be overwhelmed with rules. A couple rules at a time per day might help, and then practicing those rules with games and visual aids. The following site has a fun game that practices putting the rules to the test.
Divisibility Games

I look forward to more rules and tricks to help make math less time consuming for everyone.
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