100 mod 12 – Remainder of 100 Divided by 12

100 mod 12, 100 modulo 12 as well as 100 modulus 12 all mean the same: 🙂

The remainder of the (Euclidean) division of 100 by 12.

100 mod 12 = 4

What is 100 modulo 12?

• 100 is the dividend
• 12 is the divisor (modulo)
• 4 is the remainder

So, the answer is:

100 modulo 12 = 4

Next, we show you the math.

How is 100 mod 12 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 100 / 12 called quotient: 8
2. Multiply the quotient by the divisor: 8 × 12 = 96
3. Subtract the result from step 2 from the dividend: 100 – 96 = 4

Proof: 4 = (8 × 12) + 4.

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Similar calculations include, for example:

• 4 mod 13
• 5 mod 13
• 6 mod 13

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