Divisibility calculator
Calculator
The calculator needs JavaScript. The tables below give the same numbers for common cases.
How it is worked out
- A number is divisible by 2 if it ends in an even digit, by 3 or 9 if its digit sum is divisible by 3 or 9, by 4 if its last two digits are, by 5 if it ends in 0 or 5, by 10 if it ends in 0, by 11 if the alternating digit sum is.
- The calculator checks each divisor with the remainder (n mod d).
| Inputs | Answer |
|---|---|
| Whole number: 3780 | 3,780 is divisible by 2, 3, 4, 5, 6, 7, 9, 10, 12. |
| Whole number: 1001 | 1,001 is divisible by 7, 11. |
| Whole number: 97 | 97 is divisible by none of 2 to 12. |
How to use it
A number is divisible by 2 if its last digit is even, by 3 or 9 if its digit sum is divisible by 3 or 9, by 4 if its last two digits are, by 5 if it ends in 0 or 5, by 6 if it is divisible by 2 and 3, by 10 if it ends in 0, and by 11 if the alternating sum of its digits is. The calculator simply tests each divisor with the remainder.
3,780 is divisible by 2, 3, 4, 5, 6, 7, 9, 10 and 12, but not by 8 or 11.
Frequently asked questions
How do I know if a number is divisible by 3?
Add its digits; if the sum is divisible by 3, so is the number.
Is 3,780 divisible by 8?
No: 3,780 ÷ 8 = 472.5.
What does divisible mean?
Dividing leaves no remainder.
Method: standard arithmetic shown step by step; no outside data is used. Checked 2026-11-12.
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General information only. Results are plain arithmetic on the numbers you enter; check anything important (money, health, school work) against your own records or the official source.