Divisibility Test Calculator
Check whether any number is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12. This calculator tests all common divisibility rules at once and shows the remainder for each divisor.
Divisibility rules let you quickly determine whether one number divides evenly into another without performing long division. Here are the rules for 2 through 12:
Quick Divisibility Rules:
- By 2: Last digit is even (0, 2, 4, 6, 8)
- By 3: Sum of digits is divisible by 3
- By 4: Last two digits form a number divisible by 4
- By 5: Last digit is 0 or 5
- By 6: Divisible by both 2 and 3
- By 7: Double the last digit, subtract from the rest; if the result is divisible by 7, so is the original
- By 8: Last three digits form a number divisible by 8
- By 9: Sum of digits is divisible by 9
- By 10: Last digit is 0
- By 11: Alternating sum of digits is divisible by 11
- By 12: Divisible by both 3 and 4
Why Divisibility Matters:
Divisibility tests are useful for simplifying fractions, finding common factors, checking arithmetic, and solving number theory problems. They are among the first tools students learn for working with whole numbers.