Sublime Maths Worksheets

Test of Divisibility Calculator

  • 2The last digit is even (0, 2, 4, 6, or 8).
  • 4The last two digits are divisible by 4.
  • 8The last three digits are divisible by 8.
  • 16The last three digits are divisible by 16.
  • 3The sum of the digits is divisible by 3.
  • 9The sum of the digits is divisible by 9.
  • 5The last digit is 0 or 5.
  • 10The last digit is 0.
  • 11The difference of the alternating sum of the digits is divisible by 11.
  • 6The number is divisible by both 2 and 3.
  • 12The number is divisible by both 3 and 4.
  • 14The number is divisible by both 2 and 7.
  • 15The number is divisible by both 3 and 5.
  • 18The number is divisible by both 2 and 9.
  • 7Take the last digit, double it, and subtract that result from the number formed by the remaining digits. If the difference is divisible by 7, then the original number is divisible by 7.
  • 13Take the last digit, multiply it by 4, and add that result to the number formed by the remaining digits. If the sum is divisible by 13, then the original number is divisible by 13.
  • 17Take the last digit, multiply it by 5, and subtract that result from the number formed by the remaining digits. If the difference is divisible by 17, then the original number is divisible by 17.
  • 19Take the last digit, multiply it by 2, and add that result to the number formed by the remaining digits. If the sum is divisible by 19, then the original number is divisible by 19.

About the tool...

Easily check divisibility rules for numbers up to 10 digits!

Our Test of Divisibility Calculator helps you determine whether a number (between 3 and 10 digits) is divisible by any number from 2 to 19. Unlike simple calculators, this tool not only checks divisibility but also explains the divisibility rules for each divisor.

For each divisor from 2 to 19, the tool checks divisibility and highlights results—green for success and red for failure—making it easy to interpret.

Key Features:

  1. Comprehensive Divisibility Test: Enter a number, and the tool will test its divisibility for 2 to 19 instantly.
  2. Rule Explanation for Learning: Get a quick description of the divisibility rule for each divisor, making it an excellent learning tool for students and teachers.
  3. Smart Grouping of Divisors: The output groups divisors with similar rules, making it easier to understand patterns in divisibility.
  4. Fast & User-Friendly: Get results instantly with a clear, structured explanation.

Whether you're a student, teacher, or just curious about divisibility, this tool provides instant verification and valuable learning insights. Try it now and master divisibility rules effortlessly!

A Few Smart Tips...

  1. Test out 232792560, the least common multiple (LCM) of numbers 1 through 19—you'll see every divisibility rule from 2 to 19 turn green! Then, try 465585120, the next number divisible by all numbers from 1 to 19, to check the pattern and watch them turn green again.
  2. Or try 9999999967, the largest 10-digit prime number—you'll see every divisibility rule from 2 to 19 turn red since it's only divisible by 1 and itself!
  3. The divisibility rules for 7, 13, 17, and 19 share a similar pattern of manipulating the last digit and the remaining number. Learning them together can help you quickly master the technique and spot the connections!
  4. With our Times Table Mastery with Multi-Digit Long Multiplication, practice and memorize the multiplication tables for 13, 16, 17, and 19 to speed up applying their divisibility rules with confidence!.