4 mod 3 – Remainder of 4 Divided by 3

4 mod 3, 4 modulo 3 as well as 4 modulus 3 all mean the same: 🙂

The remainder of the (Euclidean) division of 4 by 3.

4 mod 3 = 1

What is 4 modulo 3?

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

So, the answer is:

4 modulo 3 = 1

Next, we show you the math.

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

Proof: 1 = (1 × 3) + 1.

Modulo Calculator

If you have another modulo operation enter it here:

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Similar calculations include, for example:

• 9 mod 3
• 10 mod 3
• 11 mod 3

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