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1 mod 5 – Remainder of 1 Divided by 5

1 mod 5, 1 modulo 5 as well as 1 modulus 5 all mean the same: 🙂

The remainder of the (Euclidean) division of 1 by 5.

1 mod 5 = 1

What is 1 modulo 5?

  • 1 is the dividend
  • 5 is the divisor (modulo)
  • 1 is the remainder

So, the answer is:

1 modulo 5 = 1


Next, we show you the math.

How is 1 mod 5 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 1 / 5 called quotient: 0
  2. Multiply the quotient by the divisor: 0 × 5 = 0
  3. Subtract the result from step 2 from the dividend: 1 – 0 = 1

Proof: 1 = (0 × 5) + 1.

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– Article written by Mark