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Understanding Divisibility Rules: A Guide to Simplifying Mathematics

This guide explores the fundamental rules of divisibility, providing insights on how to determine if a number is divisible by 2, 3, 4, 5, 6, 9, and 10. Learn the quick checks such as: a number is divisible by 2 if its ones digit is even; by 3 if the sum of its digits is divisible by 3; by 4 if the number made of its last two digits is divisible by 4; by 5 if the ones digit is 0 or 5; and additional criteria for other numbers. Master these patterns to simplify your mathematical calculations effectively.

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Understanding Divisibility Rules: A Guide to Simplifying Mathematics

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  1. Divisibility PatternsA number is divisible by:- 2 if the ones digit is divisible by 2.- 3 if the sum of the digits is divisible by 3.- 4 if the number formed by the last two digits is divisible by 4.- 5 if the ones digit is 0 or 5.- 6 if the number is divisible by both 2 and 3.- 9 if the sum of the digits is divisible by 9.- 10 if the ones digit is 0.

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