5 mod 5 – Remainder of 5 Divided by 5

5 mod 5, 5 modulo 5 as well as 5 modulus 5 all mean the same: 🙂

The remainder of the (Euclidean) division of 5 by 5.

5 mod 5 = 0

What is 5 modulo 5?

• 5 is the dividend
• 5 is the divisor (modulo)
• 0 is the remainder

So, the answer is:

5 modulo 5 = 0

Next, we show you the math.

How is 5 mod 5 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 5 / 5 called quotient: 1
2. Multiply the quotient by the divisor: 1 × 5 = 5
3. Subtract the result from step 2 from the dividend: 5 – 5 = 0

Proof: 0 = (1 × 5) + 0.

Modulo Calculator

If you have another modulo operation enter it here:

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Similar calculations include, for example:

• 10 mod 5
• 11 mod 5
• 12 mod 5

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