Divisibility Test Calculator

Check Divisibility Rules

Enter Number

Enter a positive integer (max 1,000,000,000)

Tests divisibility by:
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Divisibility Rules

2:

Last digit is even (0, 2, 4, 6, 8)

3:

Sum of digits is divisible by 3

4:

Last two digits form a number divisible by 4

5:

Last digit is 0 or 5

6:

Divisible by both 2 and 3

7:

Double the last digit and subtract from remaining number, repeat if needed

8:

Last three digits form a number divisible by 8

9:

Sum of digits is divisible by 9

10:

Last digit is 0

11:

Alternating sum of digits is divisible by 11

12:

Divisible by both 3 and 4

Features

  • Tests divisibility by 2-12
  • Detailed rule explanations
  • Step-by-step calculations
  • Prime factorization
  • Visual result indicators
  • Copy results
  • Quick examples
  • Large number support

Quick Tips

Even numbers:

Always divisible by 2

Ends in 0 or 5:

Always divisible by 5

Ends in 0:

Always divisible by 10

Composite:

If divisible by 6, also by 2 and 3

Use Cases

  • Math homework and learning
  • Number theory problems
  • Factorization exercises
  • Prime number testing
  • Mental math practice
  • Teaching divisibility rules
  • Quick calculations
  • Programming algorithms

Educational Benefits

Learn Mathematics:

Pattern Recognition:

Understand number patterns and properties

Mental Math:

Improve quick calculation skills

Number Theory:

Foundation for advanced mathematics

Problem Solving:

Apply rules to solve complex problems

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