7 mod 5 – Remainder of 7 Divided by 5

7 mod 5, 7 modulo 5 as well as 7 modulus 5 all mean the same: 🙂

The remainder of the (Euclidean) division of 7 by 5.

7 mod 5 = 2

What is 7 modulo 5?

• 7 is the dividend
• 5 is the divisor (modulo)
• 2 is the remainder

So, the answer is:

7 modulo 5 = 2

Next, we show you the math.

How is 7 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 7 / 5 called quotient: 1
2. Multiply the quotient by the divisor: 1 × 5 = 5
3. Subtract the result from step 2 from the dividend: 7 – 5 = 2

Proof: 2 = (1 × 5) + 2.

Modulo Calculator

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Similar calculations include, for example:

• 12 mod 5
• 13 mod 5
• 14 mod 5

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