49 mod 13 – Remainder of 49 Divided by 13

49 mod 13, 49 modulo 13 as well as 49 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 49 by 13.

49 mod 13 = 10

What is 49 modulo 13?

• 49 is the dividend
• 13 is the divisor (modulo)
• 10 is the remainder

So, the answer is:

49 modulo 13 = 10

Next, we show you the math.

How is 49 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 49 / 13 called quotient: 3
2. Multiply the quotient by the divisor: 3 × 13 = 39
3. Subtract the result from step 2 from the dividend: 49 – 39 = 10

Proof: 10 = (3 × 13) + 10.

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Similar calculations include, for example:

• 54 mod 13
• 55 mod 13
• 56 mod 13

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