100 mod 13 – Remainder of 100 Divided by 13

100 mod 13, 100 modulo 13 as well as 100 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 100 by 13.

100 mod 13 = 9

What is 100 modulo 13?

• 100 is the dividend
• 13 is the divisor (modulo)
• 9 is the remainder

So, the answer is:

100 modulo 13 = 9

Next, we show you the math.

How is 100 mod 13 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 / 13 called quotient: 7
2. Multiply the quotient by the divisor: 7 × 13 = 91
3. Subtract the result from step 2 from the dividend: 100 – 91 = 9

Proof: 9 = (7 × 13) + 9.

Modulo Calculator

If you have another modulo operation enter it here:

Number:

Modulo:

Remainder:

Reset

Similar calculations include, for example:

• 4 mod 14
• 5 mod 14
• 6 mod 14

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