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1 mod 4 – Remainder of 1 Divided by 4

1 mod 4, 1 modulo 4 as well as 1 modulus 4 all mean the same: 🙂

The remainder of the (Euclidean) division of 1 by 4.

1 mod 4 = 1

What is 1 modulo 4?

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

So, the answer is:

1 modulo 4 = 1


Next, we show you the math.

How is 1 mod 4 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 / 4 called quotient: 0
  2. Multiply the quotient by the divisor: 0 × 4 = 0
  3. Subtract the result from step 2 from the dividend: 1 – 0 = 1

Proof: 1 = (0 × 4) + 1.

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– Article written by Mark