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71 mod 7 – Remainder of 71 Divided by 7

71 mod 7, 71 modulo 7 as well as 71 modulus 7 all mean the same: 🙂

The remainder of the (Euclidean) division of 71 by 7.

71 mod 7 = 1

What is 71 modulo 7?

  • 71 is the dividend
  • 7 is the divisor (modulo)
  • 1 is the remainder

So, the answer is:

71 modulo 7 = 1


Next, we show you the math.

How is 71 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 71 / 7 called quotient: 10
  2. Multiply the quotient by the divisor: 10 × 7 = 70
  3. Subtract the result from step 2 from the dividend: 71 – 70 = 1

Proof: 1 = (10 × 7) + 1.

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