22 mod 5 – Remainder of 22 Divided by 5

22 mod 5, 22 modulo 5 as well as 22 modulus 5 all mean the same: 🙂

The remainder of the (Euclidean) division of 22 by 5.

22 mod 5 = 2

What is 22 modulo 5?

• 22 is the dividend
• 5 is the divisor (modulo)
• 2 is the remainder

So, the answer is:

22 modulo 5 = 2

Next, we show you the math.

How is 22 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 22 / 5 called quotient: 4
2. Multiply the quotient by the divisor: 4 × 5 = 20
3. Subtract the result from step 2 from the dividend: 22 – 20 = 2

Proof: 2 = (4 × 5) + 2.

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Similar calculations include, for example:

• 27 mod 5
• 28 mod 5
• 29 mod 5

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