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Divisibility Rules

11 and 6. 3 and 9. 2, 5, 10 and 4, 8. Divisibility Rules. 2, 5, and 10 A number is divisible by 2 if and only if its ones digit is 0, 2, 4, 6, or 8. A number is divisible by 5 if and only if its ones digit is 0 or 5. A number is divisible by 10 if and only if its ones digit is 0.

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Divisibility Rules

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  1. 11 and 6 3 and 9 2, 5, 10 and 4, 8 Divisibility Rules

  2. 2, 5, and 10 • A number is divisible by 2 if and only if its ones digit is 0, 2, 4, 6, or 8. • A number is divisible by 5 if and only if its ones digit is 0 or 5. • A number is divisible by 10 if and only if its ones digit is 0. • 4 and 8 • A number is divisible by 4 if and only if the number represented by its last two digits is divisible by 4. • A number is divisible by 8 if and only if the number represented by its last three digits is divisible by 8.

  3. 3 and 9 • 3 and 9 • A number is divisible by 3 if and only if the sum of its digits is divisible by 3. • A number is divisible by 9 if and only if the sum of its digits is divisible by 9.

  4. 2, 5, 10 and 4, 8 11 and 6 3 and 9 • 11 • A number is divisible by 11 if and only if 11 divides the difference of the sum of the digits whose place values are odd powers of 10 and the sum of the digits whose place values are even powers of 10. • 6 • A number is divisible by 6 if and only if both of the tests for divisibility by 2 and 3 hold.

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