29 mod 13 – Remainder of 29 Divided by 13

29 mod 13, 29 modulo 13 as well as 29 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 29 by 13.

29 mod 13 = 3

What is 29 modulo 13?

• 29 is the dividend
• 13 is the divisor (modulo)
• 3 is the remainder

So, the answer is:

29 modulo 13 = 3

Next, we show you the math.

How is 29 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:

1. Take the whole part of 29 / 13 called quotient: 2
2. Multiply the quotient by the divisor: 2 × 13 = 26
3. Subtract the result from step 2 from the dividend: 29 – 26 = 3

Proof: 3 = (2 × 13) + 3.

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Similar calculations include, for example:

• 34 mod 13
• 35 mod 13
• 36 mod 13

– Article written by Mark, last updated on January 11th, 2024