21 mod 4 – Remainder of 21 Divided by 4

21 mod 4, 21 modulo 4 as well as 21 modulus 4 all mean the same: 🙂

The remainder of the (Euclidean) division of 21 by 4.

21 mod 4 = 1

What is 21 modulo 4?

• 21 is the dividend
• 4 is the divisor (modulo)
• 1 is the remainder

So, the answer is:

21 modulo 4 = 1

Next, we show you the math.

How is 21 mod 4 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 / 4 called quotient: 5
2. Multiply the quotient by the divisor: 5 × 4 = 20
3. Subtract the result from step 2 from the dividend: 21 – 20 = 1

Proof: 1 = (5 × 4) + 1.

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Similar calculations include, for example:

• 26 mod 4
• 27 mod 4
• 28 mod 4

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