31 mod 4 – Remainder of 31 Divided by 4

31 mod 4, 31 modulo 4 as well as 31 modulus 4 all mean the same: 🙂

The remainder of the (Euclidean) division of 31 by 4.

31 mod 4 = 3

What is 31 modulo 4?

• 31 is the dividend
• 4 is the divisor (modulo)
• 3 is the remainder

So, the answer is:

31 modulo 4 = 3

Next, we show you the math.

How is 31 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 31 / 4 called quotient: 7
2. Multiply the quotient by the divisor: 7 × 4 = 28
3. Subtract the result from step 2 from the dividend: 31 – 28 = 3

Proof: 3 = (7 × 4) + 3.

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Similar calculations include, for example:

• 36 mod 4
• 37 mod 4
• 38 mod 4

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