Table of Contents

**17 mod 13**, 17 modulo 13 as well as 17 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 17 by 13.

**17 mod 13 = 4**

## What is 17 modulo 13?

- 17 is the dividend
- 13 is the divisor (modulo)
**4**is the**remainder**

So, the answer is:

**4**

Next, we show you the math.

## How is 17 mod 13 Calculated?

Any decimal number is made up of a whole part, followed by a decimal point, followed by its decimal digits.

Conduct the three steps below:

- Take the whole part of 17 / 13 called quotient: 1
- Multiply the quotient by the divisor: 1 × 13 = 13
- Subtract the result from step 2 from the dividend: 17 – 13 = 4

Proof: 4 = (1 × 13) + 4.

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