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16 mod 7 – Remainder of 16 Divided by 7

16 mod 7, 16 modulo 7 as well as 16 modulus 7 all mean the same: 🙂

The remainder of the (Euclidean) division of 16 by 7.

16 mod 7 = 2

What is 16 modulo 7?

  • 16 is the dividend
  • 7 is the divisor (modulo)
  • 2 is the remainder

So, the answer is:

16 modulo 7 = 2


Next, we show you the math.

How is 16 mod 7 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 16 / 7 called quotient: 2
  2. Multiply the quotient by the divisor: 2 × 7 = 14
  3. Subtract the result from step 2 from the dividend: 16 – 14 = 2

Proof: 2 = (2 × 7) + 2.

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