How do I calculate the RUT check digit?
To calculate the RUT check digit (DV), multiply each digit from right to left by a repeating weight sequence of 2, 3, 4, 5, 6, 7, add the products, subtract the remainder of that total divided by 11 from 11, and map 11 to 0 and 10 to K. Example: 12.345.678 gives a check digit of 5.
Steps to calculate the DV
- Remove dots and hyphens, keeping only the RUT digits (up to 8).
- Starting from the rightmost digit, multiply each digit by 2, then the next by 3, then 4, 5, 6, 7, repeating the cycle if there are more digits.
- Add all the products together.
- Divide the sum by 11 and find the remainder, then compute 11 minus that remainder.
- If the result is 11, the check digit is 0; if it is 10, the check digit is K; otherwise the result itself is the check digit.
Formula
DV = 11 - (sum(digit x weight) mod 11), where weight cycles 2,3,4,5,6,7 from right to left; 11 -> 0, 10 -> K
- digit = each individual digit of the RUT, read from right to left
- weight = the multiplier for that position, cycling through 2, 3, 4, 5, 6, 7 and repeating
- mod 11 = the remainder of the total sum divided by 11
Quick RUT answers
How is the RUT check digit calculated for 12345678?
Multiply each digit from right to left by weights cycling 2,3,4,5,6,7,2,3,4,5,6,7..., sum them, then compute 11 minus (sum mod 11). For 12345678, that gives check digit 5, so the full RUT is 12.345.678-5.
What does a remainder of 11 mean in the RUT formula?
The check digit becomes 0 -- 11 minus (sum mod 11) equals 11 only when the sum mod 11 is 0, so that 11 is capped to 0.
What does a remainder of 10 mean?
The check digit becomes the letter K, since Chilean RUT check digits use K to represent 10 instead of a two-digit number.
What's the check digit for RUT 7654321?
6 -- so the formatted RUT is 7.654.321-6.
Give an example RUT whose check digit is K.
1.000.005-K -- verified by computing 11 minus (weighted sum mod 11), which equals 10, becoming K.
Give an example RUT whose check digit is 0.
1.000.013-0 -- the weighted sum mod 11 comes out to 0, so 11 minus 0 is capped to 0.
How does the weight cycle work exactly?
Starting from the rightmost digit, multiply by 2, then 3, 4, 5, 6, 7, then wrap back to 2 for the next digit, and so on leftward.
Does this tool accept RUTs already formatted with dots and a dash?
Yes -- it strips periods and spaces before parsing, then re-formats the digits with dots and adds the dash and check digit itself.
Example RUT numbers and their check digits
| RUT | Check digit (DV) | Formatted |
|---|
| 12345678 | 5 | 12.345.678-5 |
| 76192083 | 9 | 76.192.083-9 |
| 5126663 | 3 | 5.126.663-3 |
| 1 | 9 | 1-9 |
| 9999999 | 3 | 9.999.999-3 |
Frequently asked questions
What does 'K' mean as a check digit?
K represents the value 10. Since a single digit can't show two characters, the RUT algorithm uses the letter K whenever the calculated check value equals 10, in the same way DV letters are used to keep the identifier at a fixed length.
Can this tool detect a fake RUT?
It confirms the check digit is mathematically consistent with the digits before it, which catches typos and randomly made-up numbers. It cannot confirm the RUT was actually issued by the Chilean Servicio de Registro Civil e Identificación — that requires an official lookup.
Does the RUT format matter (dots, hyphen)?
No — this tool accepts digits with or without dots and a hyphen, and formats the result automatically (e.g. 12345678 becomes 12.345.678-5). Only the digits themselves affect the calculation.
What is the difference between RUT and RUN?
RUN (Rol Único Nacional) is the number assigned to a person; RUT (Rol Único Tributario) is the same number used for tax purposes. In everyday use, and in this calculator, the two are treated identically.
This tool implements the public modulo-11 check-digit algorithm only; it does not verify that a RUT was actually issued, is active, or belongs to a real person or company. Use Chile's official Servicio de Registro Civil e Identificación for identity verification.