23 mod 5 – Remainder of 23 Divided by 5

23 mod 5, 23 modulo 5 as well as 23 modulus 5 all mean the same: 🙂

The remainder of the (Euclidean) division of 23 by 5.

23 mod 5 = 3

What is 23 modulo 5?

• 23 is the dividend
• 5 is the divisor (modulo)
• 3 is the remainder

So, the answer is:

23 modulo 5 = 3

Next, we show you the math.

How is 23 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 23 / 5 called quotient: 4
2. Multiply the quotient by the divisor: 4 × 5 = 20
3. Subtract the result from step 2 from the dividend: 23 – 20 = 3

Proof: 3 = (4 × 5) + 3.

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Similar calculations include, for example:

• 28 mod 5
• 29 mod 5
• 30 mod 5

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