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BEGINNERNumber Properties

Divisibility Rules

Quick rules to check if a number is divisible by 2, 3, 4, 5, 6, 8, 9, 11 without division

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Memorize these rules to instantly check divisibility:

How It Works

0

By 2: Last digit is 0, 2, 4, 6, or 8

1

By 3: Sum of digits divisible by 3

2

By 4: Last 2 digits divisible by 4

3

By 5: Last digit is 0 or 5

4

By 6: Divisible by both 2 and 3

5

By 8: Last 3 digits divisible by 8

6

By 9: Sum of digits divisible by 9

7

By 11: Alternating sum of digits divisible by 11

Examples

📝 Is 2376 divisible by 9? → 2+3+7+6=18 ✓

📝 Is 3542 divisible by 11? → 3-5+4-2=0 ✓

Pro Tips

💡 For 11: Add odd-position digits, subtract even-position digits

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