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35 mod 7 – Remainder of 35 Divided by 7

35 mod 7, 35 modulo 7 as well as 35 modulus 7 all mean the same: 🙂

The remainder of the (Euclidean) division of 35 by 7.

35 mod 7 = 0

What is 35 modulo 7?

  • 35 is the dividend
  • 7 is the divisor (modulo)
  • 0 is the remainder

So, the answer is:

35 modulo 7 = 0


Next, we show you the math.

How is 35 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 35 / 7 called quotient: 5
  2. Multiply the quotient by the divisor: 5 × 7 = 35
  3. Subtract the result from step 2 from the dividend: 35 – 35 = 0

Proof: 0 = (5 × 7) + 0.

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