Number System — Divisibility Rules

Formula / Rule
Number System — Divisibility Rules
Topic
Number System
Formula
Divisor Rule
2 Last digit is 0, 2, 4, 6, or 8
3 Sum of digits divisible by 3
4 Last two digits divisible by 4
5 Last digit is 0 or 5
6 Divisible by both 2 and 3
8 Last three digits divisible by 8
9 Sum of digits divisible by 9
10 Last digit is 0
11 (Sum of odd-position digits) − (Sum of even-position digits) = 0 or divisible by 11
When to Use
Quickly checking divisibility without full division.
Worked Example

Q: Is 132 divisible by 11?

(1 + 2) − (3) = 3 − 3 = 0 → Yes, divisible by 11

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