Divisibility Rules 2 to 11 — Full Chart & Quick Revision
Quick reference guide for divisibility rules from 2 to 11. These rules help determine if a number is divisible by another without performing division.
TL;DR: Quick reference guide for divisibility rules from 2 to 11. These rules help determine if a number is divisible by another without performing division.
Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated
Quick reference guide for divisibility rules from 2 to 11. These rules help determine if a number is divisible by another without performing division.
Divisibility Rules 2 to 11 — Full Chart
| Item | Value |
|---|---|
| Divisibility by 2 | Last digit is even (0, 2, 4, 6, 8) |
| Divisibility by 3 | Sum of all digits is divisible by 3 |
| Divisibility by 4 | Last two digits form a number divisible by 4 |
| Divisibility by 5 | Last digit is 0 or 5 |
| Divisibility by 6 | Number is divisible by both 2 and 3 |
| Divisibility by 7 | Remove last digit, double it, subtract from rest; repeat until small |
| Divisibility by 8 | Last three digits form a number divisible by 8 |
| Divisibility by 9 | Sum of all digits is divisible by 9 |
| Divisibility by 10 | Last digit is 0 |
| Divisibility by 11 | Alternating sum of digits (first minus second plus third) is divisible by 11 |
FAQs
How do I use divisibility rules to check if 123456 is divisible by 9?
Add all digits: 1+2+3+4+5+6 = 21. Since 21 is not divisible by 9, 123456 is not divisible by 9.
What is the alternating sum method for divisibility by 11?
Starting from the right, subtract and add digits alternately. For 121: 1 - 2 + 1 = 0, which is divisible by 11, so 121 is divisible by 11.