14 mod 5 – Remainder of 14 Divided by 5

14 mod 5, 14 modulo 5 as well as 14 modulus 5 all mean the same: 🙂

The remainder of the (Euclidean) division of 14 by 5.

14 mod 5 = 4

What is 14 modulo 5?

• 14 is the dividend
• 5 is the divisor (modulo)
• 4 is the remainder

So, the answer is:

14 modulo 5 = 4

Next, we show you the math.

How is 14 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 14 / 5 called quotient: 2
2. Multiply the quotient by the divisor: 2 × 5 = 10
3. Subtract the result from step 2 from the dividend: 14 – 10 = 4

Proof: 4 = (2 × 5) + 4.

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Similar calculations include, for example:

• 19 mod 5
• 20 mod 5
• 21 mod 5

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