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67 mod 13

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Welcome to 67 mod 13, our post which explains the mathematical operation 67 modulus 13.

This is also known as remainder of 67 divided by 13, and if you have been looking for 67 modulo 13, then you are right here, too.

Read on to find the 67 mod 13 value as well as the math in a nutshell.

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67 Modulo 13


The result of this modulo operation is:

67 mod 13 = 2

67 is the dividend, 13 is the divisor (modulo), 5 is the quotient explained below, and 2 is called the remainder.

The division rest of 67 by 13 equals 2, and the value of the quotient is 5.

Proof: 67 = (13×5) + 2.

Note that there is no other quotient q than 5, and that there is no other remainder r than 2 which solves the equation 67 = (13×q) + r and 0 ≤ r < 13; r ∈ set of real numbers R; q ∈ set of whole numbers Z.

Now that you understand what 67 mod 13 means, it’s time to zoom in on how this modulo operation is actually calculated.

Step by step, easy and straight to the point.

You can find the math the next part of this post.

How is 67 mod 13 Calculated?

To obtain 67mod13 conduct these three steps:

  1. Integer division (result without fractional part) of dividend by modulus: 67 / 13 = 5
  2. Multiplication of the result right above (5) by the divisor (13): 5 × 13 = 65
  3. Subtraction of the result right above (65) from the dividend (67): 67 – 65 = 2.

Calculation examples similar to the modulo division 67%13, but more detailed, can be found in our article in the header menu.

There you can also locate additional information about the Euclidean division.


Note that you can locate all of our calculations, including 67 modulus 13, quickly, by filling in the search box placed in the header and sidebar; the result page contains all relevant posts.

Ahead is the summary of our information.

Remainder of 67 Divided by 13

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