14 mod 4 – Remainder of 14 Divided by 4

14 mod 4, 14 modulo 4 as well as 14 modulus 4 all mean the same: 🙂

The remainder of the (Euclidean) division of 14 by 4.

14 mod 4 = 2

What is 14 modulo 4?

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

So, the answer is:

14 modulo 4 = 2

Next, we show you the math.

How is 14 mod 4 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 / 4 called quotient: 3
2. Multiply the quotient by the divisor: 3 × 4 = 12
3. Subtract the result from step 2 from the dividend: 14 – 12 = 2

Proof: 2 = (3 × 4) + 2.

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Similar calculations include, for example:

• 19 mod 4
• 20 mod 4
• 21 mod 4

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