What Are the Divisibility Rules for Numbers 2 to 11?
Learn the quick divisibility rules for numbers 2 through 11 to easily check if a number is divisible without division.
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Divisibility rules help determine if a number can be evenly divided by another. 2: Last digit is even. 3: Sum of digits divisible by 3. 4: Last two digits divisible by 4. 5: Ends in 0 or 5. 6: Divisible by 2 and 3. 7: Double the last digit, subtract it from the rest; result must be divisible by 7. 8: Last three digits divisible by 8. 9: Sum of digits divisible by 9. 10: Ends in 0. 11: Alternating sum of digits divisible by 11.
FAQs & Answers
- What is the divisibility rule for 7? To check divisibility by 7, double the last digit of the number, subtract it from the remaining leading part, and if the result is divisible by 7, then the original number is divisible by 7.
- How do you test if a number is divisible by 11? Calculate the alternating sum of the digits (subtracting and adding digits in turn); if the result is divisible by 11, then the number is divisible by 11.
- Can a number be divisible by both 2 and 3? Yes, if a number is divisible by both 2 and 3, it is divisible by 6 according to the divisibility rules.