15 mod 4 – Remainder of 15 Divided by 4

15 mod 4, 15 modulo 4 as well as 15 modulus 4 all mean the same: 🙂

The remainder of the (Euclidean) division of 15 by 4.

15 mod 4 = 3

What is 15 modulo 4?

• 15 is the dividend
• 4 is the divisor (modulo)
• 3 is the remainder

So, the answer is:

15 modulo 4 = 3

Next, we show you the math.

How is 15 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 15 / 4 called quotient: 3
2. Multiply the quotient by the divisor: 3 × 4 = 12
3. Subtract the result from step 2 from the dividend: 15 – 12 = 3

Proof: 3 = (3 × 4) + 3.

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Similar calculations include, for example:

• 20 mod 4
• 21 mod 4
• 22 mod 4

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