Divisibility Test Calculator

See which of 2 to 12 divide your number, with each rule applied to your digits.

Your details

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Result

Enter the number, then press “Test”.

Each rule on your number

    Once calculated, each rule appears here applied to your number.

    Rule for 7: subtract twice the last digit from the rest, and repeat. Rule for 11: add and subtract the digits alternately from the right.

    Analysis and suggestions

    Once calculated, this shows what your result means and suggestions based on your numbers.

    Behind the result

    See which of 2 to 12 divide your number, with each rule applied to your digits.

    Example · قواعد القسمة: على 2 آخر رقم زوجي، على 3 مجموع الأرقام يقبل القسمة على 3، على 5 آخر رقم 0 أو 5، على 9 مجموع الأرقام يقبل القسمة على 9…

    2,520: 2, 3, 4, 5, 6, 7, 8, 9, 10, 12

    How it is calculated

    Comprehensive Calculator Guide

    This calculator tests your number against 2 to 12, applying each rule to your digits: the last digit for 2, 5 and 10, the digit sum for 3 and 9, the last two and three digits for 4 and 8, and the rules for 7 and 11. 2520 divides by every number from 2 to 12 except 11.

    The rules

    2: even last digit. 3 and 9: digit sum. 4 and 8: last two or three digits. 5 and 10: last digit. 6 and 12: combine two rules. 7: subtract twice the last digit from the rest. 11: alternating digit sum.

    How to Use

    1. Enter the number.
    2. It is tested against 2 to 12.
    3. Press “Test” to see which divide it and each rule applied.

    Formula Used

    2: last digit even; 3: digit sum; 5: last digit 0 or 5; 9: digit sum…

    Practical Examples

    Example 1
    2520: all but 11.
    Example 2
    1001: 7 and 11.
    Example 3
    123456: 2, 3, 4, 6, 8, 12.

    Important Tips

    • Start with 2, 5, 10.
    • Combine rules for 6 and 12.
    • Use them to simplify fractions.

    Common Mistakes to Avoid

    • Using only the last digit for 4.
    • Assuming 2 and 4 give 8.
    • Using digit sums for 6 or 7.

    Frequently Asked Questions

    Divisible by 4?
    If the last two digits are.
    Rule for 7?
    Subtract twice the last digit from the rest.
    2520 and 1–10?
    Divisible by all; the smallest such number.

    Read Also

    Results are estimates for educational purposes and may vary depending on your situation and data sources.