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7 mod 4 – Remainder of 7 Divided by 4

7 mod 4, 7 modulo 4 as well as 7 modulus 4 all mean the same: 🙂

The remainder of the (Euclidean) division of 7 by 4.

7 mod 4 = 3

What is 7 modulo 4?

  • 7 is the dividend
  • 4 is the divisor (modulo)
  • 3 is the remainder

So, the answer is:

7 modulo 4 = 3


Next, we show you the math.

How is 7 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 7 / 4 called quotient: 1
  2. Multiply the quotient by the divisor: 1 × 4 = 4
  3. Subtract the result from step 2 from the dividend: 7 – 4 = 3

Proof: 3 = (1 × 4) + 3.

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– Article written by Mark