21 mod 11 – Remainder of 21 Divided by 11

21 mod 11, 21 modulo 11 as well as 21 modulus 11 all mean the same: 🙂

The remainder of the (Euclidean) division of 21 by 11.

21 mod 11 = 10

What is 21 modulo 11?

• 21 is the dividend
• 11 is the divisor (modulo)
• 10 is the remainder

So, the answer is:

21 modulo 11 = 10

Next, we show you the math.

How is 21 mod 11 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 21 / 11 called quotient: 1
2. Multiply the quotient by the divisor: 1 × 11 = 11
3. Subtract the result from step 2 from the dividend: 21 – 11 = 10

Proof: 10 = (1 × 11) + 10.

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Similar calculations include, for example:

• 26 mod 11
• 27 mod 11
• 28 mod 11

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